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Finding the Third Proportional to 75.78 and 125.30

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Solution

The third proportional to 75.78 and 125.30 is: 207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 125.30 = 125.30 : x
  2. Step 2: Convert to fraction form
    75.78/125.30 = 125.30/x
  3. Step 3: Cross multiply
    75.78x = 125.30 × 125.30
  4. Step 4: Simplify right side
    75.78x = 15,699.31
  5. Step 5: Solve for x
    x = 15,699.31/75.78
  6. Step 6: Final answer
    x = 207.17

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.