Home / 69,009-97,668

Finding the Third Proportional to 69,009 and 97,668

Calculator

Solution

The third proportional to 69,009 and 97,668 is: 138,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,009 : 97,668 = 97,668 : x
  2. Step 2: Convert to fraction form
    69,009/97,668 = 97,668/x
  3. Step 3: Cross multiply
    69,009x = 97,668 × 97,668
  4. Step 4: Simplify right side
    69,009x = 9,539,038,224
  5. Step 5: Solve for x
    x = 9,539,038,224/69,009
  6. Step 6: Final answer
    x = 138,228.90

Related Problems

Find third proportional to 34,504.50 and 48,834
Half scale
Find third proportional to 138,018 and 195,336
Double scale
Find third proportional to 69,011 and 97,671
Similar ratio
Find third proportional to 103,513.50 and 146,502
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.