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Finding the Third Proportional to 800,502 and 1,217,257

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Solution

The third proportional to 800,502 and 1,217,257 is: 1,850,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,502 : 1,217,257 = 1,217,257 : x
  2. Step 2: Convert to fraction form
    800,502/1,217,257 = 1,217,257/x
  3. Step 3: Cross multiply
    800,502x = 1,217,257 × 1,217,257
  4. Step 4: Simplify right side
    800,502x = 1,481,714,604,049
  5. Step 5: Solve for x
    x = 1,481,714,604,049/800,502
  6. Step 6: Final answer
    x = 1,850,981.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.