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Finding the Third Proportional to 66,680 and 157,403

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Solution

The third proportional to 66,680 and 157,403 is: 371,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,680 : 157,403 = 157,403 : x
  2. Step 2: Convert to fraction form
    66,680/157,403 = 157,403/x
  3. Step 3: Cross multiply
    66,680x = 157,403 × 157,403
  4. Step 4: Simplify right side
    66,680x = 24,775,704,409
  5. Step 5: Solve for x
    x = 24,775,704,409/66,680
  6. Step 6: Final answer
    x = 371,561.25

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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.