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Finding the Third Proportional to 401,517 and 587,169

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Solution

The third proportional to 401,517 and 587,169 is: 858,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,517 : 587,169 = 587,169 : x
  2. Step 2: Convert to fraction form
    401,517/587,169 = 587,169/x
  3. Step 3: Cross multiply
    401,517x = 587,169 × 587,169
  4. Step 4: Simplify right side
    401,517x = 344,767,434,561
  5. Step 5: Solve for x
    x = 344,767,434,561/401,517
  6. Step 6: Final answer
    x = 858,662.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.