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Finding the Third Proportional to 349,874 and 724,642

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Solution

The third proportional to 349,874 and 724,642 is: 1,500,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,874 : 724,642 = 724,642 : x
  2. Step 2: Convert to fraction form
    349,874/724,642 = 724,642/x
  3. Step 3: Cross multiply
    349,874x = 724,642 × 724,642
  4. Step 4: Simplify right side
    349,874x = 525,106,028,164
  5. Step 5: Solve for x
    x = 525,106,028,164/349,874
  6. Step 6: Final answer
    x = 1,500,843.24

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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.