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Finding the Third Proportional to 85,370 and 128,091

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Solution

The third proportional to 85,370 and 128,091 is: 192,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,370 : 128,091 = 128,091 : x
  2. Step 2: Convert to fraction form
    85,370/128,091 = 128,091/x
  3. Step 3: Cross multiply
    85,370x = 128,091 × 128,091
  4. Step 4: Simplify right side
    85,370x = 16,407,304,281
  5. Step 5: Solve for x
    x = 16,407,304,281/85,370
  6. Step 6: Final answer
    x = 192,190.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.