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Finding the Third Proportional to 86,769 and 190,143

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Solution

The third proportional to 86,769 and 190,143 is: 416,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,769 : 190,143 = 190,143 : x
  2. Step 2: Convert to fraction form
    86,769/190,143 = 190,143/x
  3. Step 3: Cross multiply
    86,769x = 190,143 × 190,143
  4. Step 4: Simplify right side
    86,769x = 36,154,360,449
  5. Step 5: Solve for x
    x = 36,154,360,449/86,769
  6. Step 6: Final answer
    x = 416,673.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.