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Finding the Third Proportional to 661,441.78 and 1,448,999.72

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Solution

The third proportional to 661,441.78 and 1,448,999.72 is: 3,174,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,441.78 : 1,448,999.72 = 1,448,999.72 : x
  2. Step 2: Convert to fraction form
    661,441.78/1,448,999.72 = 1,448,999.72/x
  3. Step 3: Cross multiply
    661,441.78x = 1,448,999.72 × 1,448,999.72
  4. Step 4: Simplify right side
    661,441.78x = 2,099,600,184,937.58
  5. Step 5: Solve for x
    x = 2,099,600,184,937.58/661,441.78
  6. Step 6: Final answer
    x = 3,174,278.14

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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.