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Finding the Third Proportional to 442,594.13 and 661,977.56

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Solution

The third proportional to 442,594.13 and 661,977.56 is: 990,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,594.13 : 661,977.56 = 661,977.56 : x
  2. Step 2: Convert to fraction form
    442,594.13/661,977.56 = 661,977.56/x
  3. Step 3: Cross multiply
    442,594.13x = 661,977.56 × 661,977.56
  4. Step 4: Simplify right side
    442,594.13x = 438,214,293,253.44
  5. Step 5: Solve for x
    x = 438,214,293,253.44/442,594.13
  6. Step 6: Final answer
    x = 990,104.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.