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Finding the Third Proportional to 210,465 and 320,949

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Solution

The third proportional to 210,465 and 320,949 is: 489,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,465 : 320,949 = 320,949 : x
  2. Step 2: Convert to fraction form
    210,465/320,949 = 320,949/x
  3. Step 3: Cross multiply
    210,465x = 320,949 × 320,949
  4. Step 4: Simplify right side
    210,465x = 103,008,260,601
  5. Step 5: Solve for x
    x = 103,008,260,601/210,465
  6. Step 6: Final answer
    x = 489,431.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.