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Finding the Third Proportional to 39,609 and 70,439.63

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Solution

The third proportional to 39,609 and 70,439.63 is: 125,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,609 : 70,439.63 = 70,439.63 : x
  2. Step 2: Convert to fraction form
    39,609/70,439.63 = 70,439.63/x
  3. Step 3: Cross multiply
    39,609x = 70,439.63 × 70,439.63
  4. Step 4: Simplify right side
    39,609x = 4,961,740,770.14
  5. Step 5: Solve for x
    x = 4,961,740,770.14/39,609
  6. Step 6: Final answer
    x = 125,268.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.