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Finding the Third Proportional to 980,194.50 and 2,149,723.13

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Solution

The third proportional to 980,194.50 and 2,149,723.13 is: 4,714,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,194.50 : 2,149,723.13 = 2,149,723.13 : x
  2. Step 2: Convert to fraction form
    980,194.50/2,149,723.13 = 2,149,723.13/x
  3. Step 3: Cross multiply
    980,194.50x = 2,149,723.13 × 2,149,723.13
  4. Step 4: Simplify right side
    980,194.50x = 4,621,309,514,159.77
  5. Step 5: Solve for x
    x = 4,621,309,514,159.77/980,194.50
  6. Step 6: Final answer
    x = 4,714,686.23

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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.