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Finding the Third Proportional to 272,040.19 and 420,565.92

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Solution

The third proportional to 272,040.19 and 420,565.92 is: 650,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,040.19 : 420,565.92 = 420,565.92 : x
  2. Step 2: Convert to fraction form
    272,040.19/420,565.92 = 420,565.92/x
  3. Step 3: Cross multiply
    272,040.19x = 420,565.92 × 420,565.92
  4. Step 4: Simplify right side
    272,040.19x = 176,875,694,642.57
  5. Step 5: Solve for x
    x = 176,875,694,642.57/272,040.19
  6. Step 6: Final answer
    x = 650,182.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.