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Finding the Third Proportional to 310,606 and 661,884

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Solution

The third proportional to 310,606 and 661,884 is: 1,410,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,606 : 661,884 = 661,884 : x
  2. Step 2: Convert to fraction form
    310,606/661,884 = 661,884/x
  3. Step 3: Cross multiply
    310,606x = 661,884 × 661,884
  4. Step 4: Simplify right side
    310,606x = 438,090,429,456
  5. Step 5: Solve for x
    x = 438,090,429,456/310,606
  6. Step 6: Final answer
    x = 1,410,437.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.