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Finding the Third Proportional to 521,708 and 829,254

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Solution

The third proportional to 521,708 and 829,254 is: 1,318,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,708 : 829,254 = 829,254 : x
  2. Step 2: Convert to fraction form
    521,708/829,254 = 829,254/x
  3. Step 3: Cross multiply
    521,708x = 829,254 × 829,254
  4. Step 4: Simplify right side
    521,708x = 687,662,196,516
  5. Step 5: Solve for x
    x = 687,662,196,516/521,708
  6. Step 6: Final answer
    x = 1,318,097.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.