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Finding the Third Proportional to 221,403.38 and 293,878.13

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Solution

The third proportional to 221,403.38 and 293,878.13 is: 390,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,403.38 : 293,878.13 = 293,878.13 : x
  2. Step 2: Convert to fraction form
    221,403.38/293,878.13 = 293,878.13/x
  3. Step 3: Cross multiply
    221,403.38x = 293,878.13 × 293,878.13
  4. Step 4: Simplify right side
    221,403.38x = 86,364,352,353.52
  5. Step 5: Solve for x
    x = 86,364,352,353.52/221,403.38
  6. Step 6: Final answer
    x = 390,076.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.