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Finding the Third Proportional to 78,362.25 and 118,272.38

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Solution

The third proportional to 78,362.25 and 118,272.38 is: 178,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362.25 : 118,272.38 = 118,272.38 : x
  2. Step 2: Convert to fraction form
    78,362.25/118,272.38 = 118,272.38/x
  3. Step 3: Cross multiply
    78,362.25x = 118,272.38 × 118,272.38
  4. Step 4: Simplify right side
    78,362.25x = 13,988,354,688.14
  5. Step 5: Solve for x
    x = 13,988,354,688.14/78,362.25
  6. Step 6: Final answer
    x = 178,508.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.