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Finding the Third Proportional to 142,902 and 305,486

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Solution

The third proportional to 142,902 and 305,486 is: 653,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,902 : 305,486 = 305,486 : x
  2. Step 2: Convert to fraction form
    142,902/305,486 = 305,486/x
  3. Step 3: Cross multiply
    142,902x = 305,486 × 305,486
  4. Step 4: Simplify right side
    142,902x = 93,321,696,196
  5. Step 5: Solve for x
    x = 93,321,696,196/142,902
  6. Step 6: Final answer
    x = 653,046.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.