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Finding the Third Proportional to 158,694.19 and 330,502.78

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Solution

The third proportional to 158,694.19 and 330,502.78 is: 688,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,694.19 : 330,502.78 = 330,502.78 : x
  2. Step 2: Convert to fraction form
    158,694.19/330,502.78 = 330,502.78/x
  3. Step 3: Cross multiply
    158,694.19x = 330,502.78 × 330,502.78
  4. Step 4: Simplify right side
    158,694.19x = 109,232,088,413.99
  5. Step 5: Solve for x
    x = 109,232,088,413.99/158,694.19
  6. Step 6: Final answer
    x = 688,318.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.