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Finding the Third Proportional to 128,128.50 and 272,023.88

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Solution

The third proportional to 128,128.50 and 272,023.88 is: 577,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,128.50 : 272,023.88 = 272,023.88 : x
  2. Step 2: Convert to fraction form
    128,128.50/272,023.88 = 272,023.88/x
  3. Step 3: Cross multiply
    128,128.50x = 272,023.88 × 272,023.88
  4. Step 4: Simplify right side
    128,128.50x = 73,996,988,570.02
  5. Step 5: Solve for x
    x = 73,996,988,570.02/128,128.50
  6. Step 6: Final answer
    x = 577,521.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.