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Finding the Third Proportional to 512,499 and 1,121,523

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Solution

The third proportional to 512,499 and 1,121,523 is: 2,454,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,499 : 1,121,523 = 1,121,523 : x
  2. Step 2: Convert to fraction form
    512,499/1,121,523 = 1,121,523/x
  3. Step 3: Cross multiply
    512,499x = 1,121,523 × 1,121,523
  4. Step 4: Simplify right side
    512,499x = 1,257,813,839,529
  5. Step 5: Solve for x
    x = 1,257,813,839,529/512,499
  6. Step 6: Final answer
    x = 2,454,275.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.