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Finding the Third Proportional to 399,300 and 873,624

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Solution

The third proportional to 399,300 and 873,624 is: 1,911,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,300 : 873,624 = 873,624 : x
  2. Step 2: Convert to fraction form
    399,300/873,624 = 873,624/x
  3. Step 3: Cross multiply
    399,300x = 873,624 × 873,624
  4. Step 4: Simplify right side
    399,300x = 763,218,893,376
  5. Step 5: Solve for x
    x = 763,218,893,376/399,300
  6. Step 6: Final answer
    x = 1,911,392.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.