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Finding the Third Proportional to 84,010.50 and 181,143

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Solution

The third proportional to 84,010.50 and 181,143 is: 390,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,010.50 : 181,143 = 181,143 : x
  2. Step 2: Convert to fraction form
    84,010.50/181,143 = 181,143/x
  3. Step 3: Cross multiply
    84,010.50x = 181,143 × 181,143
  4. Step 4: Simplify right side
    84,010.50x = 32,812,786,449
  5. Step 5: Solve for x
    x = 32,812,786,449/84,010.50
  6. Step 6: Final answer
    x = 390,579.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.