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Finding the Third Proportional to 303,910 and 661,332

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Solution

The third proportional to 303,910 and 661,332 is: 1,439,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,910 : 661,332 = 661,332 : x
  2. Step 2: Convert to fraction form
    303,910/661,332 = 661,332/x
  3. Step 3: Cross multiply
    303,910x = 661,332 × 661,332
  4. Step 4: Simplify right side
    303,910x = 437,360,014,224
  5. Step 5: Solve for x
    x = 437,360,014,224/303,910
  6. Step 6: Final answer
    x = 1,439,110.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.