Home / 102,417-149,122.50

Finding the Third Proportional to 102,417 and 149,122.50

Calculator

Solution

The third proportional to 102,417 and 149,122.50 is: 217,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,417 : 149,122.50 = 149,122.50 : x
  2. Step 2: Convert to fraction form
    102,417/149,122.50 = 149,122.50/x
  3. Step 3: Cross multiply
    102,417x = 149,122.50 × 149,122.50
  4. Step 4: Simplify right side
    102,417x = 22,237,520,006.25
  5. Step 5: Solve for x
    x = 22,237,520,006.25/102,417
  6. Step 6: Final answer
    x = 217,127.23

Related Problems

Find third proportional to 51,208.50 and 74,561.25
Half scale
Find third proportional to 204,834 and 298,245
Double scale
Find third proportional to 102,419 and 149,125
Similar ratio
Find third proportional to 153,625.50 and 223,683.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.