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Finding the Third Proportional to 349,872 and 724,638

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Solution

The third proportional to 349,872 and 724,638 is: 1,500,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,872 : 724,638 = 724,638 : x
  2. Step 2: Convert to fraction form
    349,872/724,638 = 724,638/x
  3. Step 3: Cross multiply
    349,872x = 724,638 × 724,638
  4. Step 4: Simplify right side
    349,872x = 525,100,231,044
  5. Step 5: Solve for x
    x = 525,100,231,044/349,872
  6. Step 6: Final answer
    x = 1,500,835.25

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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.