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Finding the Third Proportional to 331,506 and 715,835

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Solution

The third proportional to 331,506 and 715,835 is: 1,545,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,506 : 715,835 = 715,835 : x
  2. Step 2: Convert to fraction form
    331,506/715,835 = 715,835/x
  3. Step 3: Cross multiply
    331,506x = 715,835 × 715,835
  4. Step 4: Simplify right side
    331,506x = 512,419,747,225
  5. Step 5: Solve for x
    x = 512,419,747,225/331,506
  6. Step 6: Final answer
    x = 1,545,732.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.