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Finding the Third Proportional to 29,840 and 40,378

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Solution

The third proportional to 29,840 and 40,378 is: 54,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840 : 40,378 = 40,378 : x
  2. Step 2: Convert to fraction form
    29,840/40,378 = 40,378/x
  3. Step 3: Cross multiply
    29,840x = 40,378 × 40,378
  4. Step 4: Simplify right side
    29,840x = 1,630,382,884
  5. Step 5: Solve for x
    x = 1,630,382,884/29,840
  6. Step 6: Final answer
    x = 54,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.