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Finding the Third Proportional to 384,348 and 561,711

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Solution

The third proportional to 384,348 and 561,711 is: 820,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,348 : 561,711 = 561,711 : x
  2. Step 2: Convert to fraction form
    384,348/561,711 = 561,711/x
  3. Step 3: Cross multiply
    384,348x = 561,711 × 561,711
  4. Step 4: Simplify right side
    384,348x = 315,519,247,521
  5. Step 5: Solve for x
    x = 315,519,247,521/384,348
  6. Step 6: Final answer
    x = 820,920.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.