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Finding the Third Proportional to 69,217 and 148,963

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Solution

The third proportional to 69,217 and 148,963 is: 320,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,217 : 148,963 = 148,963 : x
  2. Step 2: Convert to fraction form
    69,217/148,963 = 148,963/x
  3. Step 3: Cross multiply
    69,217x = 148,963 × 148,963
  4. Step 4: Simplify right side
    69,217x = 22,189,975,369
  5. Step 5: Solve for x
    x = 22,189,975,369/69,217
  6. Step 6: Final answer
    x = 320,585.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.