Home / 66,769-135,382

Finding the Third Proportional to 66,769 and 135,382

Calculator

Solution

The third proportional to 66,769 and 135,382 is: 274,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,769 : 135,382 = 135,382 : x
  2. Step 2: Convert to fraction form
    66,769/135,382 = 135,382/x
  3. Step 3: Cross multiply
    66,769x = 135,382 × 135,382
  4. Step 4: Simplify right side
    66,769x = 18,328,285,924
  5. Step 5: Solve for x
    x = 18,328,285,924/66,769
  6. Step 6: Final answer
    x = 274,502.93

Related Problems

Find third proportional to 33,384.50 and 67,691
Half scale
Find third proportional to 133,538 and 270,764
Double scale
Find third proportional to 66,771 and 135,386
Similar ratio
Find third proportional to 100,153.50 and 203,073
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.