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Finding the Third Proportional to 75,459.75 and 102,117.38

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Solution

The third proportional to 75,459.75 and 102,117.38 is: 138,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,459.75 : 102,117.38 = 102,117.38 : x
  2. Step 2: Convert to fraction form
    75,459.75/102,117.38 = 102,117.38/x
  3. Step 3: Cross multiply
    75,459.75x = 102,117.38 × 102,117.38
  4. Step 4: Simplify right side
    75,459.75x = 10,427,958,276.89
  5. Step 5: Solve for x
    x = 10,427,958,276.89/75,459.75
  6. Step 6: Final answer
    x = 138,192.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.