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Finding the Third Proportional to 443,348 and 687,894

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Solution

The third proportional to 443,348 and 687,894 is: 1,067,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,348 : 687,894 = 687,894 : x
  2. Step 2: Convert to fraction form
    443,348/687,894 = 687,894/x
  3. Step 3: Cross multiply
    443,348x = 687,894 × 687,894
  4. Step 4: Simplify right side
    443,348x = 473,198,155,236
  5. Step 5: Solve for x
    x = 473,198,155,236/443,348
  6. Step 6: Final answer
    x = 1,067,328.95

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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.