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Finding the Third Proportional to 721,183.50 and 1,121,144.63

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Solution

The third proportional to 721,183.50 and 1,121,144.63 is: 1,742,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,183.50 : 1,121,144.63 = 1,121,144.63 : x
  2. Step 2: Convert to fraction form
    721,183.50/1,121,144.63 = 1,121,144.63/x
  3. Step 3: Cross multiply
    721,183.50x = 1,121,144.63 × 1,121,144.63
  4. Step 4: Simplify right side
    721,183.50x = 1,256,965,270,166.39
  5. Step 5: Solve for x
    x = 1,256,965,270,166.39/721,183.50
  6. Step 6: Final answer
    x = 1,742,920.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.