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Finding the Third Proportional to 490,948 and 1,078,376

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Solution

The third proportional to 490,948 and 1,078,376 is: 2,368,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,948 : 1,078,376 = 1,078,376 : x
  2. Step 2: Convert to fraction form
    490,948/1,078,376 = 1,078,376/x
  3. Step 3: Cross multiply
    490,948x = 1,078,376 × 1,078,376
  4. Step 4: Simplify right side
    490,948x = 1,162,894,797,376
  5. Step 5: Solve for x
    x = 1,162,894,797,376/490,948
  6. Step 6: Final answer
    x = 2,368,672.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.