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Finding the Third Proportional to 510,722 and 808,317

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Solution

The third proportional to 510,722 and 808,317 is: 1,279,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,722 : 808,317 = 808,317 : x
  2. Step 2: Convert to fraction form
    510,722/808,317 = 808,317/x
  3. Step 3: Cross multiply
    510,722x = 808,317 × 808,317
  4. Step 4: Simplify right side
    510,722x = 653,376,372,489
  5. Step 5: Solve for x
    x = 653,376,372,489/510,722
  6. Step 6: Final answer
    x = 1,279,319.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.