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Finding the Third Proportional to 66,686 and 157,418

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Solution

The third proportional to 66,686 and 157,418 is: 371,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,686 : 157,418 = 157,418 : x
  2. Step 2: Convert to fraction form
    66,686/157,418 = 157,418/x
  3. Step 3: Cross multiply
    66,686x = 157,418 × 157,418
  4. Step 4: Simplify right side
    66,686x = 24,780,426,724
  5. Step 5: Solve for x
    x = 24,780,426,724/66,686
  6. Step 6: Final answer
    x = 371,598.64

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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.