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Finding the Third Proportional to 15,605 and 32,505

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Solution

The third proportional to 15,605 and 32,505 is: 67,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605 : 32,505 = 32,505 : x
  2. Step 2: Convert to fraction form
    15,605/32,505 = 32,505/x
  3. Step 3: Cross multiply
    15,605x = 32,505 × 32,505
  4. Step 4: Simplify right side
    15,605x = 1,056,575,025
  5. Step 5: Solve for x
    x = 1,056,575,025/15,605
  6. Step 6: Final answer
    x = 67,707.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.