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Finding the Third Proportional to 217,738.13 and 336,448.69

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Solution

The third proportional to 217,738.13 and 336,448.69 is: 519,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,738.13 : 336,448.69 = 336,448.69 : x
  2. Step 2: Convert to fraction form
    217,738.13/336,448.69 = 336,448.69/x
  3. Step 3: Cross multiply
    217,738.13x = 336,448.69 × 336,448.69
  4. Step 4: Simplify right side
    217,738.13x = 113,197,719,320.47
  5. Step 5: Solve for x
    x = 113,197,719,320.47/217,738.13
  6. Step 6: Final answer
    x = 519,880.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.