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Finding the Third Proportional to 69,689 and 153,445

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Solution

The third proportional to 69,689 and 153,445 is: 337,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,689 : 153,445 = 153,445 : x
  2. Step 2: Convert to fraction form
    69,689/153,445 = 153,445/x
  3. Step 3: Cross multiply
    69,689x = 153,445 × 153,445
  4. Step 4: Simplify right side
    69,689x = 23,545,368,025
  5. Step 5: Solve for x
    x = 23,545,368,025/69,689
  6. Step 6: Final answer
    x = 337,863.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.