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Finding the Third Proportional to 276,618 and 563,382

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Solution

The third proportional to 276,618 and 563,382 is: 1,147,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,618 : 563,382 = 563,382 : x
  2. Step 2: Convert to fraction form
    276,618/563,382 = 563,382/x
  3. Step 3: Cross multiply
    276,618x = 563,382 × 563,382
  4. Step 4: Simplify right side
    276,618x = 317,399,277,924
  5. Step 5: Solve for x
    x = 317,399,277,924/276,618
  6. Step 6: Final answer
    x = 1,147,428.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.