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Finding the Third Proportional to 64,375 and 134,630

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Solution

The third proportional to 64,375 and 134,630 is: 281,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,375 : 134,630 = 134,630 : x
  2. Step 2: Convert to fraction form
    64,375/134,630 = 134,630/x
  3. Step 3: Cross multiply
    64,375x = 134,630 × 134,630
  4. Step 4: Simplify right side
    64,375x = 18,125,236,900
  5. Step 5: Solve for x
    x = 18,125,236,900/64,375
  6. Step 6: Final answer
    x = 281,557.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.