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Finding the Third Proportional to 20,468 and 30,575

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Solution

The third proportional to 20,468 and 30,575 is: 45,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468 : 30,575 = 30,575 : x
  2. Step 2: Convert to fraction form
    20,468/30,575 = 30,575/x
  3. Step 3: Cross multiply
    20,468x = 30,575 × 30,575
  4. Step 4: Simplify right side
    20,468x = 934,830,625
  5. Step 5: Solve for x
    x = 934,830,625/20,468
  6. Step 6: Final answer
    x = 45,672.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.