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Finding the Third Proportional to 312,636 and 484,398

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Solution

The third proportional to 312,636 and 484,398 is: 750,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,636 : 484,398 = 484,398 : x
  2. Step 2: Convert to fraction form
    312,636/484,398 = 484,398/x
  3. Step 3: Cross multiply
    312,636x = 484,398 × 484,398
  4. Step 4: Simplify right side
    312,636x = 234,641,422,404
  5. Step 5: Solve for x
    x = 234,641,422,404/312,636
  6. Step 6: Final answer
    x = 750,525.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.