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Finding the Third Proportional to 655,200 and 987,417

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Solution

The third proportional to 655,200 and 987,417 is: 1,488,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,200 : 987,417 = 987,417 : x
  2. Step 2: Convert to fraction form
    655,200/987,417 = 987,417/x
  3. Step 3: Cross multiply
    655,200x = 987,417 × 987,417
  4. Step 4: Simplify right side
    655,200x = 974,992,331,889
  5. Step 5: Solve for x
    x = 974,992,331,889/655,200
  6. Step 6: Final answer
    x = 1,488,083.53

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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.