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Finding the Third Proportional to 315,545.06 and 679,202.44

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Solution

The third proportional to 315,545.06 and 679,202.44 is: 1,461,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,545.06 : 679,202.44 = 679,202.44 : x
  2. Step 2: Convert to fraction form
    315,545.06/679,202.44 = 679,202.44/x
  3. Step 3: Cross multiply
    315,545.06x = 679,202.44 × 679,202.44
  4. Step 4: Simplify right side
    315,545.06x = 461,315,951,105.94
  5. Step 5: Solve for x
    x = 461,315,951,105.94/315,545.06
  6. Step 6: Final answer
    x = 1,461,965.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.