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Finding the Third Proportional to 40,320 and 61,868

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Solution

The third proportional to 40,320 and 61,868 is: 94,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 61,868 = 61,868 : x
  2. Step 2: Convert to fraction form
    40,320/61,868 = 61,868/x
  3. Step 3: Cross multiply
    40,320x = 61,868 × 61,868
  4. Step 4: Simplify right side
    40,320x = 3,827,649,424
  5. Step 5: Solve for x
    x = 3,827,649,424/40,320
  6. Step 6: Final answer
    x = 94,931.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.