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Finding the Third Proportional to 787,704 and 1,687,491

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Solution

The third proportional to 787,704 and 1,687,491 is: 3,615,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,704 : 1,687,491 = 1,687,491 : x
  2. Step 2: Convert to fraction form
    787,704/1,687,491 = 1,687,491/x
  3. Step 3: Cross multiply
    787,704x = 1,687,491 × 1,687,491
  4. Step 4: Simplify right side
    787,704x = 2,847,625,875,081
  5. Step 5: Solve for x
    x = 2,847,625,875,081/787,704
  6. Step 6: Final answer
    x = 3,615,096.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.