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Finding the Third Proportional to 102,978 and 151,125.75

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Solution

The third proportional to 102,978 and 151,125.75 is: 221,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,978 : 151,125.75 = 151,125.75 : x
  2. Step 2: Convert to fraction form
    102,978/151,125.75 = 151,125.75/x
  3. Step 3: Cross multiply
    102,978x = 151,125.75 × 151,125.75
  4. Step 4: Simplify right side
    102,978x = 22,838,992,313.06
  5. Step 5: Solve for x
    x = 22,838,992,313.06/102,978
  6. Step 6: Final answer
    x = 221,785.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.