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Finding the Third Proportional to 85,186.69 and 127,780.03

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Solution

The third proportional to 85,186.69 and 127,780.03 is: 191,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,186.69 : 127,780.03 = 127,780.03 : x
  2. Step 2: Convert to fraction form
    85,186.69/127,780.03 = 127,780.03/x
  3. Step 3: Cross multiply
    85,186.69x = 127,780.03 × 127,780.03
  4. Step 4: Simplify right side
    85,186.69x = 16,327,736,386.25
  5. Step 5: Solve for x
    x = 16,327,736,386.25/85,186.69
  6. Step 6: Final answer
    x = 191,670.05

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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.