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Finding the Third Proportional to 147,645.75 and 218,355

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Solution

The third proportional to 147,645.75 and 218,355 is: 322,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,645.75 : 218,355 = 218,355 : x
  2. Step 2: Convert to fraction form
    147,645.75/218,355 = 218,355/x
  3. Step 3: Cross multiply
    147,645.75x = 218,355 × 218,355
  4. Step 4: Simplify right side
    147,645.75x = 47,678,906,025
  5. Step 5: Solve for x
    x = 47,678,906,025/147,645.75
  6. Step 6: Final answer
    x = 322,927.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.