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Finding the Third Proportional to 312,265.13 and 668,782.83

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Solution

The third proportional to 312,265.13 and 668,782.83 is: 1,432,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,265.13 : 668,782.83 = 668,782.83 : x
  2. Step 2: Convert to fraction form
    312,265.13/668,782.83 = 668,782.83/x
  3. Step 3: Cross multiply
    312,265.13x = 668,782.83 × 668,782.83
  4. Step 4: Simplify right side
    312,265.13x = 447,270,471,194.87
  5. Step 5: Solve for x
    x = 447,270,471,194.87/312,265.13
  6. Step 6: Final answer
    x = 1,432,342.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.