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Finding the Third Proportional to 386,945 and 516,072

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Solution

The third proportional to 386,945 and 516,072 is: 688,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,945 : 516,072 = 516,072 : x
  2. Step 2: Convert to fraction form
    386,945/516,072 = 516,072/x
  3. Step 3: Cross multiply
    386,945x = 516,072 × 516,072
  4. Step 4: Simplify right side
    386,945x = 266,330,309,184
  5. Step 5: Solve for x
    x = 266,330,309,184/386,945
  6. Step 6: Final answer
    x = 688,289.83

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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.