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Finding the Third Proportional to 140,345.25 and 154,902.75

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Solution

The third proportional to 140,345.25 and 154,902.75 is: 170,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,345.25 : 154,902.75 = 154,902.75 : x
  2. Step 2: Convert to fraction form
    140,345.25/154,902.75 = 154,902.75/x
  3. Step 3: Cross multiply
    140,345.25x = 154,902.75 × 154,902.75
  4. Step 4: Simplify right side
    140,345.25x = 23,994,861,957.56
  5. Step 5: Solve for x
    x = 23,994,861,957.56/140,345.25
  6. Step 6: Final answer
    x = 170,970.25

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.