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Finding the Third Proportional to 78,015.06 and 168,047.25

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Solution

The third proportional to 78,015.06 and 168,047.25 is: 361,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.06 : 168,047.25 = 168,047.25 : x
  2. Step 2: Convert to fraction form
    78,015.06/168,047.25 = 168,047.25/x
  3. Step 3: Cross multiply
    78,015.06x = 168,047.25 × 168,047.25
  4. Step 4: Simplify right side
    78,015.06x = 28,239,878,232.56
  5. Step 5: Solve for x
    x = 28,239,878,232.56/78,015.06
  6. Step 6: Final answer
    x = 361,979.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.