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Finding the Third Proportional to 40,413 and 87,822

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Solution

The third proportional to 40,413 and 87,822 is: 190,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,413 : 87,822 = 87,822 : x
  2. Step 2: Convert to fraction form
    40,413/87,822 = 87,822/x
  3. Step 3: Cross multiply
    40,413x = 87,822 × 87,822
  4. Step 4: Simplify right side
    40,413x = 7,712,703,684
  5. Step 5: Solve for x
    x = 7,712,703,684/40,413
  6. Step 6: Final answer
    x = 190,847.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.