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Finding the Third Proportional to 339,390 and 498,771

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Solution

The third proportional to 339,390 and 498,771 is: 732,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,390 : 498,771 = 498,771 : x
  2. Step 2: Convert to fraction form
    339,390/498,771 = 498,771/x
  3. Step 3: Cross multiply
    339,390x = 498,771 × 498,771
  4. Step 4: Simplify right side
    339,390x = 248,772,510,441
  5. Step 5: Solve for x
    x = 248,772,510,441/339,390
  6. Step 6: Final answer
    x = 732,998.94

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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.