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Finding the Third Proportional to 300,886.73 and 649,171.55

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Solution

The third proportional to 300,886.73 and 649,171.55 is: 1,400,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,886.73 : 649,171.55 = 649,171.55 : x
  2. Step 2: Convert to fraction form
    300,886.73/649,171.55 = 649,171.55/x
  3. Step 3: Cross multiply
    300,886.73x = 649,171.55 × 649,171.55
  4. Step 4: Simplify right side
    300,886.73x = 421,423,697,272.08
  5. Step 5: Solve for x
    x = 421,423,697,272.08/300,886.73
  6. Step 6: Final answer
    x = 1,400,605.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.