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Finding the Third Proportional to 310,448 and 661,600

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Solution

The third proportional to 310,448 and 661,600 is: 1,409,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,448 : 661,600 = 661,600 : x
  2. Step 2: Convert to fraction form
    310,448/661,600 = 661,600/x
  3. Step 3: Cross multiply
    310,448x = 661,600 × 661,600
  4. Step 4: Simplify right side
    310,448x = 437,714,560,000
  5. Step 5: Solve for x
    x = 437,714,560,000/310,448
  6. Step 6: Final answer
    x = 1,409,944.85

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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.