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Finding the Third Proportional to 78,013.75 and 114,243.75

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Solution

The third proportional to 78,013.75 and 114,243.75 is: 167,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,013.75 : 114,243.75 = 114,243.75 : x
  2. Step 2: Convert to fraction form
    78,013.75/114,243.75 = 114,243.75/x
  3. Step 3: Cross multiply
    78,013.75x = 114,243.75 × 114,243.75
  4. Step 4: Simplify right side
    78,013.75x = 13,051,634,414.06
  5. Step 5: Solve for x
    x = 13,051,634,414.06/78,013.75
  6. Step 6: Final answer
    x = 167,299.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.