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Finding the Third Proportional to 86,220 and 133,170

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Solution

The third proportional to 86,220 and 133,170 is: 205,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,220 : 133,170 = 133,170 : x
  2. Step 2: Convert to fraction form
    86,220/133,170 = 133,170/x
  3. Step 3: Cross multiply
    86,220x = 133,170 × 133,170
  4. Step 4: Simplify right side
    86,220x = 17,734,248,900
  5. Step 5: Solve for x
    x = 17,734,248,900/86,220
  6. Step 6: Final answer
    x = 205,686.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.