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Finding the Third Proportional to 31,438.13 and 48,615.19

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Solution

The third proportional to 31,438.13 and 48,615.19 is: 75,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 48,615.19 = 48,615.19 : x
  2. Step 2: Convert to fraction form
    31,438.13/48,615.19 = 48,615.19/x
  3. Step 3: Cross multiply
    31,438.13x = 48,615.19 × 48,615.19
  4. Step 4: Simplify right side
    31,438.13x = 2,363,436,455.66
  5. Step 5: Solve for x
    x = 2,363,436,455.66/31,438.13
  6. Step 6: Final answer
    x = 75,177.40

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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.