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Finding the Third Proportional to 32,109 and 77,353

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Solution

The third proportional to 32,109 and 77,353 is: 186,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109 : 77,353 = 77,353 : x
  2. Step 2: Convert to fraction form
    32,109/77,353 = 77,353/x
  3. Step 3: Cross multiply
    32,109x = 77,353 × 77,353
  4. Step 4: Simplify right side
    32,109x = 5,983,486,609
  5. Step 5: Solve for x
    x = 5,983,486,609/32,109
  6. Step 6: Final answer
    x = 186,349.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.