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Finding the Third Proportional to 40,320 and 43,344

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Solution

The third proportional to 40,320 and 43,344 is: 46,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 43,344 = 43,344 : x
  2. Step 2: Convert to fraction form
    40,320/43,344 = 43,344/x
  3. Step 3: Cross multiply
    40,320x = 43,344 × 43,344
  4. Step 4: Simplify right side
    40,320x = 1,878,702,336
  5. Step 5: Solve for x
    x = 1,878,702,336/40,320
  6. Step 6: Final answer
    x = 46,594.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.