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Finding the Third Proportional to 313,773.75 and 498,636

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Solution

The third proportional to 313,773.75 and 498,636 is: 792,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773.75 : 498,636 = 498,636 : x
  2. Step 2: Convert to fraction form
    313,773.75/498,636 = 498,636/x
  3. Step 3: Cross multiply
    313,773.75x = 498,636 × 498,636
  4. Step 4: Simplify right side
    313,773.75x = 248,637,860,496
  5. Step 5: Solve for x
    x = 248,637,860,496/313,773.75
  6. Step 6: Final answer
    x = 792,411.29

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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.