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Finding the Third Proportional to 287,049 and 617,974

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Solution

The third proportional to 287,049 and 617,974 is: 1,330,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,049 : 617,974 = 617,974 : x
  2. Step 2: Convert to fraction form
    287,049/617,974 = 617,974/x
  3. Step 3: Cross multiply
    287,049x = 617,974 × 617,974
  4. Step 4: Simplify right side
    287,049x = 381,891,864,676
  5. Step 5: Solve for x
    x = 381,891,864,676/287,049
  6. Step 6: Final answer
    x = 1,330,406.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.