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Finding the Third Proportional to 69,505 and 148,852

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Solution

The third proportional to 69,505 and 148,852 is: 318,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,505 : 148,852 = 148,852 : x
  2. Step 2: Convert to fraction form
    69,505/148,852 = 148,852/x
  3. Step 3: Cross multiply
    69,505x = 148,852 × 148,852
  4. Step 4: Simplify right side
    69,505x = 22,156,917,904
  5. Step 5: Solve for x
    x = 22,156,917,904/69,505
  6. Step 6: Final answer
    x = 318,781.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.