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Finding the Third Proportional to 81,456.19 and 174,303

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Solution

The third proportional to 81,456.19 and 174,303 is: 372,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456.19 : 174,303 = 174,303 : x
  2. Step 2: Convert to fraction form
    81,456.19/174,303 = 174,303/x
  3. Step 3: Cross multiply
    81,456.19x = 174,303 × 174,303
  4. Step 4: Simplify right side
    81,456.19x = 30,381,535,809
  5. Step 5: Solve for x
    x = 30,381,535,809/81,456.19
  6. Step 6: Final answer
    x = 372,980.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.