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Finding the Third Proportional to 312,619.50 and 484,374

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Solution

The third proportional to 312,619.50 and 484,374 is: 750,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,619.50 : 484,374 = 484,374 : x
  2. Step 2: Convert to fraction form
    312,619.50/484,374 = 484,374/x
  3. Step 3: Cross multiply
    312,619.50x = 484,374 × 484,374
  4. Step 4: Simplify right side
    312,619.50x = 234,618,171,876
  5. Step 5: Solve for x
    x = 234,618,171,876/312,619.50
  6. Step 6: Final answer
    x = 750,491.16

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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.