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Finding the Third Proportional to 236,536 and 516,920

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Solution

The third proportional to 236,536 and 516,920 is: 1,129,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,536 : 516,920 = 516,920 : x
  2. Step 2: Convert to fraction form
    236,536/516,920 = 516,920/x
  3. Step 3: Cross multiply
    236,536x = 516,920 × 516,920
  4. Step 4: Simplify right side
    236,536x = 267,206,286,400
  5. Step 5: Solve for x
    x = 267,206,286,400/236,536
  6. Step 6: Final answer
    x = 1,129,664.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.