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Finding the Third Proportional to 32,916.50 and 72,084

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Solution

The third proportional to 32,916.50 and 72,084 is: 157,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916.50 : 72,084 = 72,084 : x
  2. Step 2: Convert to fraction form
    32,916.50/72,084 = 72,084/x
  3. Step 3: Cross multiply
    32,916.50x = 72,084 × 72,084
  4. Step 4: Simplify right side
    32,916.50x = 5,196,103,056
  5. Step 5: Solve for x
    x = 5,196,103,056/32,916.50
  6. Step 6: Final answer
    x = 157,857.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.