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Finding the Third Proportional to 262,614 and 407,361

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Solution

The third proportional to 262,614 and 407,361 is: 631,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,614 : 407,361 = 407,361 : x
  2. Step 2: Convert to fraction form
    262,614/407,361 = 407,361/x
  3. Step 3: Cross multiply
    262,614x = 407,361 × 407,361
  4. Step 4: Simplify right side
    262,614x = 165,942,984,321
  5. Step 5: Solve for x
    x = 165,942,984,321/262,614
  6. Step 6: Final answer
    x = 631,889.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.