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Finding the Third Proportional to 667,989 and 1,455,864

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Solution

The third proportional to 667,989 and 1,455,864 is: 3,173,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,989 : 1,455,864 = 1,455,864 : x
  2. Step 2: Convert to fraction form
    667,989/1,455,864 = 1,455,864/x
  3. Step 3: Cross multiply
    667,989x = 1,455,864 × 1,455,864
  4. Step 4: Simplify right side
    667,989x = 2,119,539,986,496
  5. Step 5: Solve for x
    x = 2,119,539,986,496/667,989
  6. Step 6: Final answer
    x = 3,173,016.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.