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Finding the Third Proportional to 305,947.69 and 662,743.13

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Solution

The third proportional to 305,947.69 and 662,743.13 is: 1,435,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,947.69 : 662,743.13 = 662,743.13 : x
  2. Step 2: Convert to fraction form
    305,947.69/662,743.13 = 662,743.13/x
  3. Step 3: Cross multiply
    305,947.69x = 662,743.13 × 662,743.13
  4. Step 4: Simplify right side
    305,947.69x = 439,228,449,734.77
  5. Step 5: Solve for x
    x = 439,228,449,734.77/305,947.69
  6. Step 6: Final answer
    x = 1,435,632.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.