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Finding the Third Proportional to 401,264 and 587,640

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Solution

The third proportional to 401,264 and 587,640 is: 860,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,264 : 587,640 = 587,640 : x
  2. Step 2: Convert to fraction form
    401,264/587,640 = 587,640/x
  3. Step 3: Cross multiply
    401,264x = 587,640 × 587,640
  4. Step 4: Simplify right side
    401,264x = 345,320,769,600
  5. Step 5: Solve for x
    x = 345,320,769,600/401,264
  6. Step 6: Final answer
    x = 860,582.48

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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.