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Finding the Third Proportional to 415,175 and 677,935

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Solution

The third proportional to 415,175 and 677,935 is: 1,106,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,175 : 677,935 = 677,935 : x
  2. Step 2: Convert to fraction form
    415,175/677,935 = 677,935/x
  3. Step 3: Cross multiply
    415,175x = 677,935 × 677,935
  4. Step 4: Simplify right side
    415,175x = 459,595,864,225
  5. Step 5: Solve for x
    x = 459,595,864,225/415,175
  6. Step 6: Final answer
    x = 1,106,993.11

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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.