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Finding the Third Proportional to 638,290 and 988,291

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Solution

The third proportional to 638,290 and 988,291 is: 1,530,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,290 : 988,291 = 988,291 : x
  2. Step 2: Convert to fraction form
    638,290/988,291 = 988,291/x
  3. Step 3: Cross multiply
    638,290x = 988,291 × 988,291
  4. Step 4: Simplify right side
    638,290x = 976,719,100,681
  5. Step 5: Solve for x
    x = 976,719,100,681/638,290
  6. Step 6: Final answer
    x = 1,530,212.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.