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Finding the Third Proportional to 665,711.44 and 1,455,978.38

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Solution

The third proportional to 665,711.44 and 1,455,978.38 is: 3,184,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,711.44 : 1,455,978.38 = 1,455,978.38 : x
  2. Step 2: Convert to fraction form
    665,711.44/1,455,978.38 = 1,455,978.38/x
  3. Step 3: Cross multiply
    665,711.44x = 1,455,978.38 × 1,455,978.38
  4. Step 4: Simplify right side
    665,711.44x = 2,119,873,028,467.64
  5. Step 5: Solve for x
    x = 2,119,873,028,467.64/665,711.44
  6. Step 6: Final answer
    x = 3,184,372.25

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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.