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Finding the Third Proportional to 78,959.81 and 161,610.19

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Solution

The third proportional to 78,959.81 and 161,610.19 is: 330,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,959.81 : 161,610.19 = 161,610.19 : x
  2. Step 2: Convert to fraction form
    78,959.81/161,610.19 = 161,610.19/x
  3. Step 3: Cross multiply
    78,959.81x = 161,610.19 × 161,610.19
  4. Step 4: Simplify right side
    78,959.81x = 26,117,852,703.79
  5. Step 5: Solve for x
    x = 26,117,852,703.79/78,959.81
  6. Step 6: Final answer
    x = 330,774.00

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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.