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Finding the Third Proportional to 38,503 and 56,421

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Solution

The third proportional to 38,503 and 56,421 is: 82,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503 : 56,421 = 56,421 : x
  2. Step 2: Convert to fraction form
    38,503/56,421 = 56,421/x
  3. Step 3: Cross multiply
    38,503x = 56,421 × 56,421
  4. Step 4: Simplify right side
    38,503x = 3,183,329,241
  5. Step 5: Solve for x
    x = 3,183,329,241/38,503
  6. Step 6: Final answer
    x = 82,677.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.