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Finding the Third Proportional to 319,631.06 and 650,278.13

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Solution

The third proportional to 319,631.06 and 650,278.13 is: 1,322,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,631.06 : 650,278.13 = 650,278.13 : x
  2. Step 2: Convert to fraction form
    319,631.06/650,278.13 = 650,278.13/x
  3. Step 3: Cross multiply
    319,631.06x = 650,278.13 × 650,278.13
  4. Step 4: Simplify right side
    319,631.06x = 422,861,639,853.52
  5. Step 5: Solve for x
    x = 422,861,639,853.52/319,631.06
  6. Step 6: Final answer
    x = 1,322,967.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.