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Finding the Third Proportional to 69,435.50 and 148,712.34

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Solution

The third proportional to 69,435.50 and 148,712.34 is: 318,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,435.50 : 148,712.34 = 148,712.34 : x
  2. Step 2: Convert to fraction form
    69,435.50/148,712.34 = 148,712.34/x
  3. Step 3: Cross multiply
    69,435.50x = 148,712.34 × 148,712.34
  4. Step 4: Simplify right side
    69,435.50x = 22,115,361,183.62
  5. Step 5: Solve for x
    x = 22,115,361,183.62/69,435.50
  6. Step 6: Final answer
    x = 318,502.22

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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.