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Finding the Third Proportional to 169,645 and 262,811

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Solution

The third proportional to 169,645 and 262,811 is: 407,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,645 : 262,811 = 262,811 : x
  2. Step 2: Convert to fraction form
    169,645/262,811 = 262,811/x
  3. Step 3: Cross multiply
    169,645x = 262,811 × 262,811
  4. Step 4: Simplify right side
    169,645x = 69,069,621,721
  5. Step 5: Solve for x
    x = 69,069,621,721/169,645
  6. Step 6: Final answer
    x = 407,142.10

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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.