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Finding the Third Proportional to 75,353 and 102,342

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Solution

The third proportional to 75,353 and 102,342 is: 138,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,353 : 102,342 = 102,342 : x
  2. Step 2: Convert to fraction form
    75,353/102,342 = 102,342/x
  3. Step 3: Cross multiply
    75,353x = 102,342 × 102,342
  4. Step 4: Simplify right side
    75,353x = 10,473,884,964
  5. Step 5: Solve for x
    x = 10,473,884,964/75,353
  6. Step 6: Final answer
    x = 138,997.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.