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Finding the Third Proportional to 407,916 and 587,520

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Solution

The third proportional to 407,916 and 587,520 is: 846,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,916 : 587,520 = 587,520 : x
  2. Step 2: Convert to fraction form
    407,916/587,520 = 587,520/x
  3. Step 3: Cross multiply
    407,916x = 587,520 × 587,520
  4. Step 4: Simplify right side
    407,916x = 345,179,750,400
  5. Step 5: Solve for x
    x = 345,179,750,400/407,916
  6. Step 6: Final answer
    x = 846,203.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.