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Finding the Third Proportional to 313,637 and 498,491

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Solution

The third proportional to 313,637 and 498,491 is: 792,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,637 : 498,491 = 498,491 : x
  2. Step 2: Convert to fraction form
    313,637/498,491 = 498,491/x
  3. Step 3: Cross multiply
    313,637x = 498,491 × 498,491
  4. Step 4: Simplify right side
    313,637x = 248,493,277,081
  5. Step 5: Solve for x
    x = 248,493,277,081/313,637
  6. Step 6: Final answer
    x = 792,295.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.