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Finding the Third Proportional to 66,690 and 157,422

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Solution

The third proportional to 66,690 and 157,422 is: 371,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,690 : 157,422 = 157,422 : x
  2. Step 2: Convert to fraction form
    66,690/157,422 = 157,422/x
  3. Step 3: Cross multiply
    66,690x = 157,422 × 157,422
  4. Step 4: Simplify right side
    66,690x = 24,781,686,084
  5. Step 5: Solve for x
    x = 24,781,686,084/66,690
  6. Step 6: Final answer
    x = 371,595.23

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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.