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Finding the Third Proportional to 366,526 and 516,139

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Solution

The third proportional to 366,526 and 516,139 is: 726,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,526 : 516,139 = 516,139 : x
  2. Step 2: Convert to fraction form
    366,526/516,139 = 516,139/x
  3. Step 3: Cross multiply
    366,526x = 516,139 × 516,139
  4. Step 4: Simplify right side
    366,526x = 266,399,467,321
  5. Step 5: Solve for x
    x = 266,399,467,321/366,526
  6. Step 6: Final answer
    x = 726,822.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.