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Finding the Third Proportional to 69,280 and 149,636

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Solution

The third proportional to 69,280 and 149,636 is: 323,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,280 : 149,636 = 149,636 : x
  2. Step 2: Convert to fraction form
    69,280/149,636 = 149,636/x
  3. Step 3: Cross multiply
    69,280x = 149,636 × 149,636
  4. Step 4: Simplify right side
    69,280x = 22,390,932,496
  5. Step 5: Solve for x
    x = 22,390,932,496/69,280
  6. Step 6: Final answer
    x = 323,194.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.