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Finding the Third Proportional to 386,921 and 516,036

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Solution

The third proportional to 386,921 and 516,036 is: 688,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,921 : 516,036 = 516,036 : x
  2. Step 2: Convert to fraction form
    386,921/516,036 = 516,036/x
  3. Step 3: Cross multiply
    386,921x = 516,036 × 516,036
  4. Step 4: Simplify right side
    386,921x = 266,293,153,296
  5. Step 5: Solve for x
    x = 266,293,153,296/386,921
  6. Step 6: Final answer
    x = 688,236.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.