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Finding the Third Proportional to 78,823.13 and 161,329.22

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Solution

The third proportional to 78,823.13 and 161,329.22 is: 330,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.13 : 161,329.22 = 161,329.22 : x
  2. Step 2: Convert to fraction form
    78,823.13/161,329.22 = 161,329.22/x
  3. Step 3: Cross multiply
    78,823.13x = 161,329.22 × 161,329.22
  4. Step 4: Simplify right side
    78,823.13x = 26,027,116,822.49
  5. Step 5: Solve for x
    x = 26,027,116,822.49/78,823.13
  6. Step 6: Final answer
    x = 330,196.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.