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Finding the Third Proportional to 128,443.38 and 275,824.13

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Solution

The third proportional to 128,443.38 and 275,824.13 is: 592,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,443.38 : 275,824.13 = 275,824.13 : x
  2. Step 2: Convert to fraction form
    128,443.38/275,824.13 = 275,824.13/x
  3. Step 3: Cross multiply
    128,443.38x = 275,824.13 × 275,824.13
  4. Step 4: Simplify right side
    128,443.38x = 76,078,947,932.02
  5. Step 5: Solve for x
    x = 76,078,947,932.02/128,443.38
  6. Step 6: Final answer
    x = 592,315.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.