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Finding the Third Proportional to 236,630 and 516,928

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Solution

The third proportional to 236,630 and 516,928 is: 1,129,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,630 : 516,928 = 516,928 : x
  2. Step 2: Convert to fraction form
    236,630/516,928 = 516,928/x
  3. Step 3: Cross multiply
    236,630x = 516,928 × 516,928
  4. Step 4: Simplify right side
    236,630x = 267,214,557,184
  5. Step 5: Solve for x
    x = 267,214,557,184/236,630
  6. Step 6: Final answer
    x = 1,129,250.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.