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Finding the Third Proportional to 415,173 and 677,932

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Solution

The third proportional to 415,173 and 677,932 is: 1,106,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,173 : 677,932 = 677,932 : x
  2. Step 2: Convert to fraction form
    415,173/677,932 = 677,932/x
  3. Step 3: Cross multiply
    415,173x = 677,932 × 677,932
  4. Step 4: Simplify right side
    415,173x = 459,591,796,624
  5. Step 5: Solve for x
    x = 459,591,796,624/415,173
  6. Step 6: Final answer
    x = 1,106,988.64

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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.