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Finding the Third Proportional to 317,282 and 467,139

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Solution

The third proportional to 317,282 and 467,139 is: 687,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,282 : 467,139 = 467,139 : x
  2. Step 2: Convert to fraction form
    317,282/467,139 = 467,139/x
  3. Step 3: Cross multiply
    317,282x = 467,139 × 467,139
  4. Step 4: Simplify right side
    317,282x = 218,218,845,321
  5. Step 5: Solve for x
    x = 218,218,845,321/317,282
  6. Step 6: Final answer
    x = 687,775.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.