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Finding the Third Proportional to 142,728.75 and 310,881.38

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Solution

The third proportional to 142,728.75 and 310,881.38 is: 677,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,728.75 : 310,881.38 = 310,881.38 : x
  2. Step 2: Convert to fraction form
    142,728.75/310,881.38 = 310,881.38/x
  3. Step 3: Cross multiply
    142,728.75x = 310,881.38 × 310,881.38
  4. Step 4: Simplify right side
    142,728.75x = 96,647,229,321.89
  5. Step 5: Solve for x
    x = 96,647,229,321.89/142,728.75
  6. Step 6: Final answer
    x = 677,139.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.