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Finding the Third Proportional to 147,728.75 and 242,705.75

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Solution

The third proportional to 147,728.75 and 242,705.75 is: 398,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,728.75 : 242,705.75 = 242,705.75 : x
  2. Step 2: Convert to fraction form
    147,728.75/242,705.75 = 242,705.75/x
  3. Step 3: Cross multiply
    147,728.75x = 242,705.75 × 242,705.75
  4. Step 4: Simplify right side
    147,728.75x = 58,906,081,083.06
  5. Step 5: Solve for x
    x = 58,906,081,083.06/147,728.75
  6. Step 6: Final answer
    x = 398,744.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.