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Finding the Third Proportional to 655,272 and 988,920

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Solution

The third proportional to 655,272 and 988,920 is: 1,492,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,272 : 988,920 = 988,920 : x
  2. Step 2: Convert to fraction form
    655,272/988,920 = 988,920/x
  3. Step 3: Cross multiply
    655,272x = 988,920 × 988,920
  4. Step 4: Simplify right side
    655,272x = 977,962,766,400
  5. Step 5: Solve for x
    x = 977,962,766,400/655,272
  6. Step 6: Final answer
    x = 1,492,453.16

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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.