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Finding the Third Proportional to 75,358 and 102,345

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Solution

The third proportional to 75,358 and 102,345 is: 138,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,358 : 102,345 = 102,345 : x
  2. Step 2: Convert to fraction form
    75,358/102,345 = 102,345/x
  3. Step 3: Cross multiply
    75,358x = 102,345 × 102,345
  4. Step 4: Simplify right side
    75,358x = 10,474,499,025
  5. Step 5: Solve for x
    x = 10,474,499,025/75,358
  6. Step 6: Final answer
    x = 138,996.51

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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.