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Finding the Third Proportional to 144,943.75 and 315,618.75

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Solution

The third proportional to 144,943.75 and 315,618.75 is: 687,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,943.75 : 315,618.75 = 315,618.75 : x
  2. Step 2: Convert to fraction form
    144,943.75/315,618.75 = 315,618.75/x
  3. Step 3: Cross multiply
    144,943.75x = 315,618.75 × 315,618.75
  4. Step 4: Simplify right side
    144,943.75x = 99,615,195,351.56
  5. Step 5: Solve for x
    x = 99,615,195,351.56/144,943.75
  6. Step 6: Final answer
    x = 687,267.96

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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.