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Finding the Third Proportional to 32,970 and 71,220

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Solution

The third proportional to 32,970 and 71,220 is: 153,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970 : 71,220 = 71,220 : x
  2. Step 2: Convert to fraction form
    32,970/71,220 = 71,220/x
  3. Step 3: Cross multiply
    32,970x = 71,220 × 71,220
  4. Step 4: Simplify right side
    32,970x = 5,072,288,400
  5. Step 5: Solve for x
    x = 5,072,288,400/32,970
  6. Step 6: Final answer
    x = 153,845.57

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Why These Related Problems?

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