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Finding the Third Proportional to 318,330 and 689,148

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Solution

The third proportional to 318,330 and 689,148 is: 1,491,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,330 : 689,148 = 689,148 : x
  2. Step 2: Convert to fraction form
    318,330/689,148 = 689,148/x
  3. Step 3: Cross multiply
    318,330x = 689,148 × 689,148
  4. Step 4: Simplify right side
    318,330x = 474,924,965,904
  5. Step 5: Solve for x
    x = 474,924,965,904/318,330
  6. Step 6: Final answer
    x = 1,491,926.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.