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Finding the Third Proportional to 32,389.50 and 68,640

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Solution

The third proportional to 32,389.50 and 68,640 is: 145,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389.50 : 68,640 = 68,640 : x
  2. Step 2: Convert to fraction form
    32,389.50/68,640 = 68,640/x
  3. Step 3: Cross multiply
    32,389.50x = 68,640 × 68,640
  4. Step 4: Simplify right side
    32,389.50x = 4,711,449,600
  5. Step 5: Solve for x
    x = 4,711,449,600/32,389.50
  6. Step 6: Final answer
    x = 145,462.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.