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Finding the Third Proportional to 66,482 and 142,708

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Solution

The third proportional to 66,482 and 142,708 is: 306,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,482 : 142,708 = 142,708 : x
  2. Step 2: Convert to fraction form
    66,482/142,708 = 142,708/x
  3. Step 3: Cross multiply
    66,482x = 142,708 × 142,708
  4. Step 4: Simplify right side
    66,482x = 20,365,573,264
  5. Step 5: Solve for x
    x = 20,365,573,264/66,482
  6. Step 6: Final answer
    x = 306,332.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.