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Finding the Third Proportional to 75,220 and 109,270

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Solution

The third proportional to 75,220 and 109,270 is: 158,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,220 : 109,270 = 109,270 : x
  2. Step 2: Convert to fraction form
    75,220/109,270 = 109,270/x
  3. Step 3: Cross multiply
    75,220x = 109,270 × 109,270
  4. Step 4: Simplify right side
    75,220x = 11,939,932,900
  5. Step 5: Solve for x
    x = 11,939,932,900/75,220
  6. Step 6: Final answer
    x = 158,733.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.