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Finding the Third Proportional to 408,618 and 866,382

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Solution

The third proportional to 408,618 and 866,382 is: 1,836,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,618 : 866,382 = 866,382 : x
  2. Step 2: Convert to fraction form
    408,618/866,382 = 866,382/x
  3. Step 3: Cross multiply
    408,618x = 866,382 × 866,382
  4. Step 4: Simplify right side
    408,618x = 750,617,769,924
  5. Step 5: Solve for x
    x = 750,617,769,924/408,618
  6. Step 6: Final answer
    x = 1,836,966.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.