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Finding the Third Proportional to 655,638 and 988,074

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Solution

The third proportional to 655,638 and 988,074 is: 1,489,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,638 : 988,074 = 988,074 : x
  2. Step 2: Convert to fraction form
    655,638/988,074 = 988,074/x
  3. Step 3: Cross multiply
    655,638x = 988,074 × 988,074
  4. Step 4: Simplify right side
    655,638x = 976,290,229,476
  5. Step 5: Solve for x
    x = 976,290,229,476/655,638
  6. Step 6: Final answer
    x = 1,489,069.01

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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.