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Finding the Third Proportional to 655,644 and 988,080

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Solution

The third proportional to 655,644 and 988,080 is: 1,489,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,644 : 988,080 = 988,080 : x
  2. Step 2: Convert to fraction form
    655,644/988,080 = 988,080/x
  3. Step 3: Cross multiply
    655,644x = 988,080 × 988,080
  4. Step 4: Simplify right side
    655,644x = 976,302,086,400
  5. Step 5: Solve for x
    x = 976,302,086,400/655,644
  6. Step 6: Final answer
    x = 1,489,073.47

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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.