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Finding the Third Proportional to 312,639.75 and 636,328.13

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Solution

The third proportional to 312,639.75 and 636,328.13 is: 1,295,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,639.75 : 636,328.13 = 636,328.13 : x
  2. Step 2: Convert to fraction form
    312,639.75/636,328.13 = 636,328.13/x
  3. Step 3: Cross multiply
    312,639.75x = 636,328.13 × 636,328.13
  4. Step 4: Simplify right side
    312,639.75x = 404,913,482,666.02
  5. Step 5: Solve for x
    x = 404,913,482,666.02/312,639.75
  6. Step 6: Final answer
    x = 1,295,143.96

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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.