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Finding the Third Proportional to 78,238.13 and 168,949.13

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Solution

The third proportional to 78,238.13 and 168,949.13 is: 364,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,238.13 : 168,949.13 = 168,949.13 : x
  2. Step 2: Convert to fraction form
    78,238.13/168,949.13 = 168,949.13/x
  3. Step 3: Cross multiply
    78,238.13x = 168,949.13 × 168,949.13
  4. Step 4: Simplify right side
    78,238.13x = 28,543,806,838.27
  5. Step 5: Solve for x
    x = 28,543,806,838.27/78,238.13
  6. Step 6: Final answer
    x = 364,832.45

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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.