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Finding the Third Proportional to 349,864 and 724,624

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Solution

The third proportional to 349,864 and 724,624 is: 1,500,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,864 : 724,624 = 724,624 : x
  2. Step 2: Convert to fraction form
    349,864/724,624 = 724,624/x
  3. Step 3: Cross multiply
    349,864x = 724,624 × 724,624
  4. Step 4: Simplify right side
    349,864x = 525,079,941,376
  5. Step 5: Solve for x
    x = 525,079,941,376/349,864
  6. Step 6: Final answer
    x = 1,500,811.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.