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Finding the Third Proportional to 18,484 and 40,657

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Solution

The third proportional to 18,484 and 40,657 is: 89,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,484 : 40,657 = 40,657 : x
  2. Step 2: Convert to fraction form
    18,484/40,657 = 40,657/x
  3. Step 3: Cross multiply
    18,484x = 40,657 × 40,657
  4. Step 4: Simplify right side
    18,484x = 1,652,991,649
  5. Step 5: Solve for x
    x = 1,652,991,649/18,484
  6. Step 6: Final answer
    x = 89,428.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.