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Finding the Third Proportional to 71,220 and 153,723

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Solution

The third proportional to 71,220 and 153,723 is: 331,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,220 : 153,723 = 153,723 : x
  2. Step 2: Convert to fraction form
    71,220/153,723 = 153,723/x
  3. Step 3: Cross multiply
    71,220x = 153,723 × 153,723
  4. Step 4: Simplify right side
    71,220x = 23,630,760,729
  5. Step 5: Solve for x
    x = 23,630,760,729/71,220
  6. Step 6: Final answer
    x = 331,799.50

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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.