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Finding the Third Proportional to 40,715 and 64,625

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Solution

The third proportional to 40,715 and 64,625 is: 102,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,715 : 64,625 = 64,625 : x
  2. Step 2: Convert to fraction form
    40,715/64,625 = 64,625/x
  3. Step 3: Cross multiply
    40,715x = 64,625 × 64,625
  4. Step 4: Simplify right side
    40,715x = 4,176,390,625
  5. Step 5: Solve for x
    x = 4,176,390,625/40,715
  6. Step 6: Final answer
    x = 102,576.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.