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Finding the Third Proportional to 32,909.50 and 71,072

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Solution

The third proportional to 32,909.50 and 71,072 is: 153,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.50 : 71,072 = 71,072 : x
  2. Step 2: Convert to fraction form
    32,909.50/71,072 = 71,072/x
  3. Step 3: Cross multiply
    32,909.50x = 71,072 × 71,072
  4. Step 4: Simplify right side
    32,909.50x = 5,051,229,184
  5. Step 5: Solve for x
    x = 5,051,229,184/32,909.50
  6. Step 6: Final answer
    x = 153,488.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.