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Finding the Third Proportional to 800,510 and 1,217,270

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Solution

The third proportional to 800,510 and 1,217,270 is: 1,851,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,510 : 1,217,270 = 1,217,270 : x
  2. Step 2: Convert to fraction form
    800,510/1,217,270 = 1,217,270/x
  3. Step 3: Cross multiply
    800,510x = 1,217,270 × 1,217,270
  4. Step 4: Simplify right side
    800,510x = 1,481,746,252,900
  5. Step 5: Solve for x
    x = 1,481,746,252,900/800,510
  6. Step 6: Final answer
    x = 1,851,002.80

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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.