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Finding the Third Proportional to 320,460 and 502,687

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Solution

The third proportional to 320,460 and 502,687 is: 788,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,460 : 502,687 = 502,687 : x
  2. Step 2: Convert to fraction form
    320,460/502,687 = 502,687/x
  3. Step 3: Cross multiply
    320,460x = 502,687 × 502,687
  4. Step 4: Simplify right side
    320,460x = 252,694,219,969
  5. Step 5: Solve for x
    x = 252,694,219,969/320,460
  6. Step 6: Final answer
    x = 788,535.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.