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Finding the Third Proportional to 69,249 and 163,379

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Solution

The third proportional to 69,249 and 163,379 is: 385,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,249 : 163,379 = 163,379 : x
  2. Step 2: Convert to fraction form
    69,249/163,379 = 163,379/x
  3. Step 3: Cross multiply
    69,249x = 163,379 × 163,379
  4. Step 4: Simplify right side
    69,249x = 26,692,697,641
  5. Step 5: Solve for x
    x = 26,692,697,641/69,249
  6. Step 6: Final answer
    x = 385,459.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.