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Finding the Third Proportional to 146,928 and 318,288

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Solution

The third proportional to 146,928 and 318,288 is: 689,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,928 : 318,288 = 318,288 : x
  2. Step 2: Convert to fraction form
    146,928/318,288 = 318,288/x
  3. Step 3: Cross multiply
    146,928x = 318,288 × 318,288
  4. Step 4: Simplify right side
    146,928x = 101,307,250,944
  5. Step 5: Solve for x
    x = 101,307,250,944/146,928
  6. Step 6: Final answer
    x = 689,502.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.