Home / 66,684-157,414

Finding the Third Proportional to 66,684 and 157,414

Calculator

Solution

The third proportional to 66,684 and 157,414 is: 371,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684 : 157,414 = 157,414 : x
  2. Step 2: Convert to fraction form
    66,684/157,414 = 157,414/x
  3. Step 3: Cross multiply
    66,684x = 157,414 × 157,414
  4. Step 4: Simplify right side
    66,684x = 24,779,167,396
  5. Step 5: Solve for x
    x = 24,779,167,396/66,684
  6. Step 6: Final answer
    x = 371,590.90

Related Problems

Find third proportional to 33,342 and 78,707
Half scale
Find third proportional to 133,368 and 314,828
Double scale
Find third proportional to 66,686 and 157,419
Similar ratio
Find third proportional to 100,026 and 236,121
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.