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Finding the Third Proportional to 32,890.50 and 71,041.50

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Solution

The third proportional to 32,890.50 and 71,041.50 is: 153,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,890.50 : 71,041.50 = 71,041.50 : x
  2. Step 2: Convert to fraction form
    32,890.50/71,041.50 = 71,041.50/x
  3. Step 3: Cross multiply
    32,890.50x = 71,041.50 × 71,041.50
  4. Step 4: Simplify right side
    32,890.50x = 5,046,894,722.25
  5. Step 5: Solve for x
    x = 5,046,894,722.25/32,890.50
  6. Step 6: Final answer
    x = 153,445.36

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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.