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Finding the Third Proportional to 5,952.38 and 9,088.88

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Solution

The third proportional to 5,952.38 and 9,088.88 is: 13,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.38 : 9,088.88 = 9,088.88 : x
  2. Step 2: Convert to fraction form
    5,952.38/9,088.88 = 9,088.88/x
  3. Step 3: Cross multiply
    5,952.38x = 9,088.88 × 9,088.88
  4. Step 4: Simplify right side
    5,952.38x = 82,607,648.77
  5. Step 5: Solve for x
    x = 82,607,648.77/5,952.38
  6. Step 6: Final answer
    x = 13,878.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.