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Finding the Third Proportional to 217,053.84 and 309,619.13

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Solution

The third proportional to 217,053.84 and 309,619.13 is: 441,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,053.84 : 309,619.13 = 309,619.13 : x
  2. Step 2: Convert to fraction form
    217,053.84/309,619.13 = 309,619.13/x
  3. Step 3: Cross multiply
    217,053.84x = 309,619.13 × 309,619.13
  4. Step 4: Simplify right side
    217,053.84x = 95,864,002,565.77
  5. Step 5: Solve for x
    x = 95,864,002,565.77/217,053.84
  6. Step 6: Final answer
    x = 441,660.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.