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Finding the Third Proportional to 232,840 and 502,776

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Solution

The third proportional to 232,840 and 502,776 is: 1,085,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,840 : 502,776 = 502,776 : x
  2. Step 2: Convert to fraction form
    232,840/502,776 = 502,776/x
  3. Step 3: Cross multiply
    232,840x = 502,776 × 502,776
  4. Step 4: Simplify right side
    232,840x = 252,783,706,176
  5. Step 5: Solve for x
    x = 252,783,706,176/232,840
  6. Step 6: Final answer
    x = 1,085,654.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.