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Finding the Third Proportional to 29,740 and 40,370

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Solution

The third proportional to 29,740 and 40,370 is: 54,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740 : 40,370 = 40,370 : x
  2. Step 2: Convert to fraction form
    29,740/40,370 = 40,370/x
  3. Step 3: Cross multiply
    29,740x = 40,370 × 40,370
  4. Step 4: Simplify right side
    29,740x = 1,629,736,900
  5. Step 5: Solve for x
    x = 1,629,736,900/29,740
  6. Step 6: Final answer
    x = 54,799.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.