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Finding the Third Proportional to 508,722 and 787,352

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Solution

The third proportional to 508,722 and 787,352 is: 1,218,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,722 : 787,352 = 787,352 : x
  2. Step 2: Convert to fraction form
    508,722/787,352 = 787,352/x
  3. Step 3: Cross multiply
    508,722x = 787,352 × 787,352
  4. Step 4: Simplify right side
    508,722x = 619,923,171,904
  5. Step 5: Solve for x
    x = 619,923,171,904/508,722
  6. Step 6: Final answer
    x = 1,218,589.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.