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Finding the Third Proportional to 531,282 and 813,069

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Solution

The third proportional to 531,282 and 813,069 is: 1,244,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,282 : 813,069 = 813,069 : x
  2. Step 2: Convert to fraction form
    531,282/813,069 = 813,069/x
  3. Step 3: Cross multiply
    531,282x = 813,069 × 813,069
  4. Step 4: Simplify right side
    531,282x = 661,081,198,761
  5. Step 5: Solve for x
    x = 661,081,198,761/531,282
  6. Step 6: Final answer
    x = 1,244,313.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.