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Finding the Third Proportional to 41,737 and 63,639

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Solution

The third proportional to 41,737 and 63,639 is: 97,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,737 : 63,639 = 63,639 : x
  2. Step 2: Convert to fraction form
    41,737/63,639 = 63,639/x
  3. Step 3: Cross multiply
    41,737x = 63,639 × 63,639
  4. Step 4: Simplify right side
    41,737x = 4,049,922,321
  5. Step 5: Solve for x
    x = 4,049,922,321/41,737
  6. Step 6: Final answer
    x = 97,034.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.