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Finding the Third Proportional to 665,926 and 1,438,259

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Solution

The third proportional to 665,926 and 1,438,259 is: 3,106,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,926 : 1,438,259 = 1,438,259 : x
  2. Step 2: Convert to fraction form
    665,926/1,438,259 = 1,438,259/x
  3. Step 3: Cross multiply
    665,926x = 1,438,259 × 1,438,259
  4. Step 4: Simplify right side
    665,926x = 2,068,588,951,081
  5. Step 5: Solve for x
    x = 2,068,588,951,081/665,926
  6. Step 6: Final answer
    x = 3,106,334.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.