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Finding the Third Proportional to 655,223 and 987,456

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Solution

The third proportional to 655,223 and 987,456 is: 1,488,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,223 : 987,456 = 987,456 : x
  2. Step 2: Convert to fraction form
    655,223/987,456 = 987,456/x
  3. Step 3: Cross multiply
    655,223x = 987,456 × 987,456
  4. Step 4: Simplify right side
    655,223x = 975,069,351,936
  5. Step 5: Solve for x
    x = 975,069,351,936/655,223
  6. Step 6: Final answer
    x = 1,488,148.85

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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.