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Finding the Third Proportional to 331,310 and 516,648

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Solution

The third proportional to 331,310 and 516,648 is: 805,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,310 : 516,648 = 516,648 : x
  2. Step 2: Convert to fraction form
    331,310/516,648 = 516,648/x
  3. Step 3: Cross multiply
    331,310x = 516,648 × 516,648
  4. Step 4: Simplify right side
    331,310x = 266,925,155,904
  5. Step 5: Solve for x
    x = 266,925,155,904/331,310
  6. Step 6: Final answer
    x = 805,665.86

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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.