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Finding the Third Proportional to 128,769.12 and 279,703.76

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Solution

The third proportional to 128,769.12 and 279,703.76 is: 607,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,769.12 : 279,703.76 = 279,703.76 : x
  2. Step 2: Convert to fraction form
    128,769.12/279,703.76 = 279,703.76/x
  3. Step 3: Cross multiply
    128,769.12x = 279,703.76 × 279,703.76
  4. Step 4: Simplify right side
    128,769.12x = 78,234,192,134.43
  5. Step 5: Solve for x
    x = 78,234,192,134.43/128,769.12
  6. Step 6: Final answer
    x = 607,554.00

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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.