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Finding the Third Proportional to 516,682 and 814,641

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Solution

The third proportional to 516,682 and 814,641 is: 1,284,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,682 : 814,641 = 814,641 : x
  2. Step 2: Convert to fraction form
    516,682/814,641 = 814,641/x
  3. Step 3: Cross multiply
    516,682x = 814,641 × 814,641
  4. Step 4: Simplify right side
    516,682x = 663,639,958,881
  5. Step 5: Solve for x
    x = 663,639,958,881/516,682
  6. Step 6: Final answer
    x = 1,284,426.32

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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.