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Finding the Third Proportional to 360,251.30 and 779,673.09

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Solution

The third proportional to 360,251.30 and 779,673.09 is: 1,687,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,251.30 : 779,673.09 = 779,673.09 : x
  2. Step 2: Convert to fraction form
    360,251.30/779,673.09 = 779,673.09/x
  3. Step 3: Cross multiply
    360,251.30x = 779,673.09 × 779,673.09
  4. Step 4: Simplify right side
    360,251.30x = 607,890,133,117.70
  5. Step 5: Solve for x
    x = 607,890,133,117.70/360,251.30
  6. Step 6: Final answer
    x = 1,687,405.81

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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.