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Finding the Third Proportional to 69,139 and 104,345

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Solution

The third proportional to 69,139 and 104,345 is: 157,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139 : 104,345 = 104,345 : x
  2. Step 2: Convert to fraction form
    69,139/104,345 = 104,345/x
  3. Step 3: Cross multiply
    69,139x = 104,345 × 104,345
  4. Step 4: Simplify right side
    69,139x = 10,887,879,025
  5. Step 5: Solve for x
    x = 10,887,879,025/69,139
  6. Step 6: Final answer
    x = 157,478.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.