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Finding the Third Proportional to 348,425 and 490,674

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Solution

The third proportional to 348,425 and 490,674 is: 690,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,425 : 490,674 = 490,674 : x
  2. Step 2: Convert to fraction form
    348,425/490,674 = 490,674/x
  3. Step 3: Cross multiply
    348,425x = 490,674 × 490,674
  4. Step 4: Simplify right side
    348,425x = 240,760,974,276
  5. Step 5: Solve for x
    x = 240,760,974,276/348,425
  6. Step 6: Final answer
    x = 690,997.99

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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.