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Finding the Third Proportional to 516,675 and 814,631.25

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Solution

The third proportional to 516,675 and 814,631.25 is: 1,284,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,675 : 814,631.25 = 814,631.25 : x
  2. Step 2: Convert to fraction form
    516,675/814,631.25 = 814,631.25/x
  3. Step 3: Cross multiply
    516,675x = 814,631.25 × 814,631.25
  4. Step 4: Simplify right side
    516,675x = 663,624,073,476.56
  5. Step 5: Solve for x
    x = 663,624,073,476.56/516,675
  6. Step 6: Final answer
    x = 1,284,412.97

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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.