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Finding the Third Proportional to 38,853 and 58,040

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Solution

The third proportional to 38,853 and 58,040 is: 86,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853 : 58,040 = 58,040 : x
  2. Step 2: Convert to fraction form
    38,853/58,040 = 58,040/x
  3. Step 3: Cross multiply
    38,853x = 58,040 × 58,040
  4. Step 4: Simplify right side
    38,853x = 3,368,641,600
  5. Step 5: Solve for x
    x = 3,368,641,600/38,853
  6. Step 6: Final answer
    x = 86,702.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.