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Finding the Third Proportional to 348,608 and 490,893

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Solution

The third proportional to 348,608 and 490,893 is: 691,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,608 : 490,893 = 490,893 : x
  2. Step 2: Convert to fraction form
    348,608/490,893 = 490,893/x
  3. Step 3: Cross multiply
    348,608x = 490,893 × 490,893
  4. Step 4: Simplify right side
    348,608x = 240,975,937,449
  5. Step 5: Solve for x
    x = 240,975,937,449/348,608
  6. Step 6: Final answer
    x = 691,251.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.