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Finding the Third Proportional to 38,728.13 and 42,859.13

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Solution

The third proportional to 38,728.13 and 42,859.13 is: 47,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.13 : 42,859.13 = 42,859.13 : x
  2. Step 2: Convert to fraction form
    38,728.13/42,859.13 = 42,859.13/x
  3. Step 3: Cross multiply
    38,728.13x = 42,859.13 × 42,859.13
  4. Step 4: Simplify right side
    38,728.13x = 1,836,904,595.77
  5. Step 5: Solve for x
    x = 1,836,904,595.77/38,728.13
  6. Step 6: Final answer
    x = 47,430.77

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.