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Finding the Third Proportional to 71,345.18 and 153,727.88

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Solution

The third proportional to 71,345.18 and 153,727.88 is: 331,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,345.18 : 153,727.88 = 153,727.88 : x
  2. Step 2: Convert to fraction form
    71,345.18/153,727.88 = 153,727.88/x
  3. Step 3: Cross multiply
    71,345.18x = 153,727.88 × 153,727.88
  4. Step 4: Simplify right side
    71,345.18x = 23,632,259,552.02
  5. Step 5: Solve for x
    x = 23,632,259,552.02/71,345.18
  6. Step 6: Final answer
    x = 331,238.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.