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Finding the Third Proportional to 70,503.75 and 109,221.75

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Solution

The third proportional to 70,503.75 and 109,221.75 is: 169,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,503.75 : 109,221.75 = 109,221.75 : x
  2. Step 2: Convert to fraction form
    70,503.75/109,221.75 = 109,221.75/x
  3. Step 3: Cross multiply
    70,503.75x = 109,221.75 × 109,221.75
  4. Step 4: Simplify right side
    70,503.75x = 11,929,390,673.06
  5. Step 5: Solve for x
    x = 11,929,390,673.06/70,503.75
  6. Step 6: Final answer
    x = 169,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.