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Finding the Third Proportional to 40,344 and 56,426

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Solution

The third proportional to 40,344 and 56,426 is: 78,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,344 : 56,426 = 56,426 : x
  2. Step 2: Convert to fraction form
    40,344/56,426 = 56,426/x
  3. Step 3: Cross multiply
    40,344x = 56,426 × 56,426
  4. Step 4: Simplify right side
    40,344x = 3,183,893,476
  5. Step 5: Solve for x
    x = 3,183,893,476/40,344
  6. Step 6: Final answer
    x = 78,918.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.