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Finding the Third Proportional to 312,635.25 and 636,319.50

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Solution

The third proportional to 312,635.25 and 636,319.50 is: 1,295,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,635.25 : 636,319.50 = 636,319.50 : x
  2. Step 2: Convert to fraction form
    312,635.25/636,319.50 = 636,319.50/x
  3. Step 3: Cross multiply
    312,635.25x = 636,319.50 × 636,319.50
  4. Step 4: Simplify right side
    312,635.25x = 404,902,506,080.25
  5. Step 5: Solve for x
    x = 404,902,506,080.25/312,635.25
  6. Step 6: Final answer
    x = 1,295,127.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.