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Finding the Third Proportional to 787,673 and 1,687,431

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Solution

The third proportional to 787,673 and 1,687,431 is: 3,614,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,673 : 1,687,431 = 1,687,431 : x
  2. Step 2: Convert to fraction form
    787,673/1,687,431 = 1,687,431/x
  3. Step 3: Cross multiply
    787,673x = 1,687,431 × 1,687,431
  4. Step 4: Simplify right side
    787,673x = 2,847,423,379,761
  5. Step 5: Solve for x
    x = 2,847,423,379,761/787,673
  6. Step 6: Final answer
    x = 3,614,981.57

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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.