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Finding the Third Proportional to 767,100.38 and 1,615,074.19

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Solution

The third proportional to 767,100.38 and 1,615,074.19 is: 3,400,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,100.38 : 1,615,074.19 = 1,615,074.19 : x
  2. Step 2: Convert to fraction form
    767,100.38/1,615,074.19 = 1,615,074.19/x
  3. Step 3: Cross multiply
    767,100.38x = 1,615,074.19 × 1,615,074.19
  4. Step 4: Simplify right side
    767,100.38x = 2,608,464,631,128.79
  5. Step 5: Solve for x
    x = 2,608,464,631,128.79/767,100.38
  6. Step 6: Final answer
    x = 3,400,421.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.