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Finding the Third Proportional to 312,106.92 and 681,994.69

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Solution

The third proportional to 312,106.92 and 681,994.69 is: 1,490,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,106.92 : 681,994.69 = 681,994.69 : x
  2. Step 2: Convert to fraction form
    312,106.92/681,994.69 = 681,994.69/x
  3. Step 3: Cross multiply
    312,106.92x = 681,994.69 × 681,994.69
  4. Step 4: Simplify right side
    312,106.92x = 465,116,753,778.22
  5. Step 5: Solve for x
    x = 465,116,753,778.22/312,106.92
  6. Step 6: Final answer
    x = 1,490,248.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.