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Finding the Third Proportional to 312,879 and 687,948

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Solution

The third proportional to 312,879 and 687,948 is: 1,512,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,879 : 687,948 = 687,948 : x
  2. Step 2: Convert to fraction form
    312,879/687,948 = 687,948/x
  3. Step 3: Cross multiply
    312,879x = 687,948 × 687,948
  4. Step 4: Simplify right side
    312,879x = 473,272,450,704
  5. Step 5: Solve for x
    x = 473,272,450,704/312,879
  6. Step 6: Final answer
    x = 1,512,637.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.