Home / 106,983-149,583

Finding the Third Proportional to 106,983 and 149,583

Calculator

Solution

The third proportional to 106,983 and 149,583 is: 209,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983 : 149,583 = 149,583 : x
  2. Step 2: Convert to fraction form
    106,983/149,583 = 149,583/x
  3. Step 3: Cross multiply
    106,983x = 149,583 × 149,583
  4. Step 4: Simplify right side
    106,983x = 22,375,073,889
  5. Step 5: Solve for x
    x = 22,375,073,889/106,983
  6. Step 6: Final answer
    x = 209,146.07

Related Problems

Find third proportional to 53,491.50 and 74,791.50
Half scale
Find third proportional to 213,966 and 299,166
Double scale
Find third proportional to 106,985 and 149,586
Similar ratio
Find third proportional to 160,474.50 and 224,374.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.