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Finding the Third Proportional to 390,732.75 and 792,326.25

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Solution

The third proportional to 390,732.75 and 792,326.25 is: 1,606,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,732.75 : 792,326.25 = 792,326.25 : x
  2. Step 2: Convert to fraction form
    390,732.75/792,326.25 = 792,326.25/x
  3. Step 3: Cross multiply
    390,732.75x = 792,326.25 × 792,326.25
  4. Step 4: Simplify right side
    390,732.75x = 627,780,886,439.06
  5. Step 5: Solve for x
    x = 627,780,886,439.06/390,732.75
  6. Step 6: Final answer
    x = 1,606,675.88

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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.