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Finding the Third Proportional to 655,168.50 and 987,369.75

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Solution

The third proportional to 655,168.50 and 987,369.75 is: 1,488,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,168.50 : 987,369.75 = 987,369.75 : x
  2. Step 2: Convert to fraction form
    655,168.50/987,369.75 = 987,369.75/x
  3. Step 3: Cross multiply
    655,168.50x = 987,369.75 × 987,369.75
  4. Step 4: Simplify right side
    655,168.50x = 974,899,023,215.06
  5. Step 5: Solve for x
    x = 974,899,023,215.06/655,168.50
  6. Step 6: Final answer
    x = 1,488,012.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.