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Finding the Third Proportional to 687,760 and 1,515,487

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Solution

The third proportional to 687,760 and 1,515,487 is: 3,339,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,760 : 1,515,487 = 1,515,487 : x
  2. Step 2: Convert to fraction form
    687,760/1,515,487 = 1,515,487/x
  3. Step 3: Cross multiply
    687,760x = 1,515,487 × 1,515,487
  4. Step 4: Simplify right side
    687,760x = 2,296,700,847,169
  5. Step 5: Solve for x
    x = 2,296,700,847,169/687,760
  6. Step 6: Final answer
    x = 3,339,392.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.