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Finding the Third Proportional to 32,929.50 and 71,043

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Solution

The third proportional to 32,929.50 and 71,043 is: 153,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929.50 : 71,043 = 71,043 : x
  2. Step 2: Convert to fraction form
    32,929.50/71,043 = 71,043/x
  3. Step 3: Cross multiply
    32,929.50x = 71,043 × 71,043
  4. Step 4: Simplify right side
    32,929.50x = 5,047,107,849
  5. Step 5: Solve for x
    x = 5,047,107,849/32,929.50
  6. Step 6: Final answer
    x = 153,270.10

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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.