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Finding the Third Proportional to 331,278 and 516,597

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Solution

The third proportional to 331,278 and 516,597 is: 805,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,278 : 516,597 = 516,597 : x
  2. Step 2: Convert to fraction form
    331,278/516,597 = 516,597/x
  3. Step 3: Cross multiply
    331,278x = 516,597 × 516,597
  4. Step 4: Simplify right side
    331,278x = 266,872,460,409
  5. Step 5: Solve for x
    x = 266,872,460,409/331,278
  6. Step 6: Final answer
    x = 805,584.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.