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Finding the Third Proportional to 30,327 and 64,775

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Solution

The third proportional to 30,327 and 64,775 is: 138,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,327 : 64,775 = 64,775 : x
  2. Step 2: Convert to fraction form
    30,327/64,775 = 64,775/x
  3. Step 3: Cross multiply
    30,327x = 64,775 × 64,775
  4. Step 4: Simplify right side
    30,327x = 4,195,800,625
  5. Step 5: Solve for x
    x = 4,195,800,625/30,327
  6. Step 6: Final answer
    x = 138,351.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.