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Finding the Third Proportional to 40,350 and 53,931

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Solution

The third proportional to 40,350 and 53,931 is: 72,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,350 : 53,931 = 53,931 : x
  2. Step 2: Convert to fraction form
    40,350/53,931 = 53,931/x
  3. Step 3: Cross multiply
    40,350x = 53,931 × 53,931
  4. Step 4: Simplify right side
    40,350x = 2,908,552,761
  5. Step 5: Solve for x
    x = 2,908,552,761/40,350
  6. Step 6: Final answer
    x = 72,083.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.