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Finding the Third Proportional to 811,371 and 1,261,287

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Solution

The third proportional to 811,371 and 1,261,287 is: 1,960,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,371 : 1,261,287 = 1,261,287 : x
  2. Step 2: Convert to fraction form
    811,371/1,261,287 = 1,261,287/x
  3. Step 3: Cross multiply
    811,371x = 1,261,287 × 1,261,287
  4. Step 4: Simplify right side
    811,371x = 1,590,844,896,369
  5. Step 5: Solve for x
    x = 1,590,844,896,369/811,371
  6. Step 6: Final answer
    x = 1,960,687.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.