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Finding the Third Proportional to 18,473 and 40,291

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Solution

The third proportional to 18,473 and 40,291 is: 87,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,473 : 40,291 = 40,291 : x
  2. Step 2: Convert to fraction form
    18,473/40,291 = 40,291/x
  3. Step 3: Cross multiply
    18,473x = 40,291 × 40,291
  4. Step 4: Simplify right side
    18,473x = 1,623,364,681
  5. Step 5: Solve for x
    x = 1,623,364,681/18,473
  6. Step 6: Final answer
    x = 87,877.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.