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Finding the Third Proportional to 415,171 and 677,929

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Solution

The third proportional to 415,171 and 677,929 is: 1,106,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,171 : 677,929 = 677,929 : x
  2. Step 2: Convert to fraction form
    415,171/677,929 = 677,929/x
  3. Step 3: Cross multiply
    415,171x = 677,929 × 677,929
  4. Step 4: Simplify right side
    415,171x = 459,587,729,041
  5. Step 5: Solve for x
    x = 459,587,729,041/415,171
  6. Step 6: Final answer
    x = 1,106,984.18

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.