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Finding the Third Proportional to 638,287.88 and 988,287.75

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Solution

The third proportional to 638,287.88 and 988,287.75 is: 1,530,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,287.88 : 988,287.75 = 988,287.75 : x
  2. Step 2: Convert to fraction form
    638,287.88/988,287.75 = 988,287.75/x
  3. Step 3: Cross multiply
    638,287.88x = 988,287.75 × 988,287.75
  4. Step 4: Simplify right side
    638,287.88x = 976,712,676,800.06
  5. Step 5: Solve for x
    x = 976,712,676,800.06/638,287.88
  6. Step 6: Final answer
    x = 1,530,207.16

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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.