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Finding the Third Proportional to 193,479.38 and 293,140.13

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Solution

The third proportional to 193,479.38 and 293,140.13 is: 444,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,479.38 : 293,140.13 = 293,140.13 : x
  2. Step 2: Convert to fraction form
    193,479.38/293,140.13 = 293,140.13/x
  3. Step 3: Cross multiply
    193,479.38x = 293,140.13 × 293,140.13
  4. Step 4: Simplify right side
    193,479.38x = 85,931,132,885.02
  5. Step 5: Solve for x
    x = 85,931,132,885.02/193,479.38
  6. Step 6: Final answer
    x = 444,135.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.