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Finding the Third Proportional to 69,442 and 149,697

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Solution

The third proportional to 69,442 and 149,697 is: 322,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,442 : 149,697 = 149,697 : x
  2. Step 2: Convert to fraction form
    69,442/149,697 = 149,697/x
  3. Step 3: Cross multiply
    69,442x = 149,697 × 149,697
  4. Step 4: Simplify right side
    69,442x = 22,409,191,809
  5. Step 5: Solve for x
    x = 22,409,191,809/69,442
  6. Step 6: Final answer
    x = 322,703.72

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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.