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Finding the Third Proportional to 128,089.13 and 278,326.69

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Solution

The third proportional to 128,089.13 and 278,326.69 is: 604,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,089.13 : 278,326.69 = 278,326.69 : x
  2. Step 2: Convert to fraction form
    128,089.13/278,326.69 = 278,326.69/x
  3. Step 3: Cross multiply
    128,089.13x = 278,326.69 × 278,326.69
  4. Step 4: Simplify right side
    128,089.13x = 77,465,744,974.72
  5. Step 5: Solve for x
    x = 77,465,744,974.72/128,089.13
  6. Step 6: Final answer
    x = 604,780.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.