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Finding the Third Proportional to 146,028 and 316,839

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Solution

The third proportional to 146,028 and 316,839 is: 687,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,028 : 316,839 = 316,839 : x
  2. Step 2: Convert to fraction form
    146,028/316,839 = 316,839/x
  3. Step 3: Cross multiply
    146,028x = 316,839 × 316,839
  4. Step 4: Simplify right side
    146,028x = 100,386,951,921
  5. Step 5: Solve for x
    x = 100,386,951,921/146,028
  6. Step 6: Final answer
    x = 687,450.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.