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Finding the Third Proportional to 69,255 and 148,855

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Solution

The third proportional to 69,255 and 148,855 is: 319,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,255 : 148,855 = 148,855 : x
  2. Step 2: Convert to fraction form
    69,255/148,855 = 148,855/x
  3. Step 3: Cross multiply
    69,255x = 148,855 × 148,855
  4. Step 4: Simplify right side
    69,255x = 22,157,811,025
  5. Step 5: Solve for x
    x = 22,157,811,025/69,255
  6. Step 6: Final answer
    x = 319,945.29

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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.