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Finding the Third Proportional to 312,503 and 442,480

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Solution

The third proportional to 312,503 and 442,480 is: 626,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,503 : 442,480 = 442,480 : x
  2. Step 2: Convert to fraction form
    312,503/442,480 = 442,480/x
  3. Step 3: Cross multiply
    312,503x = 442,480 × 442,480
  4. Step 4: Simplify right side
    312,503x = 195,788,550,400
  5. Step 5: Solve for x
    x = 195,788,550,400/312,503
  6. Step 6: Final answer
    x = 626,517.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.