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Finding the Third Proportional to 243,906 and 521,702

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Solution

The third proportional to 243,906 and 521,702 is: 1,115,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,906 : 521,702 = 521,702 : x
  2. Step 2: Convert to fraction form
    243,906/521,702 = 521,702/x
  3. Step 3: Cross multiply
    243,906x = 521,702 × 521,702
  4. Step 4: Simplify right side
    243,906x = 272,172,976,804
  5. Step 5: Solve for x
    x = 272,172,976,804/243,906
  6. Step 6: Final answer
    x = 1,115,892.91

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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.