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Finding the Third Proportional to 303,951 and 661,416

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Solution

The third proportional to 303,951 and 661,416 is: 1,439,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,951 : 661,416 = 661,416 : x
  2. Step 2: Convert to fraction form
    303,951/661,416 = 661,416/x
  3. Step 3: Cross multiply
    303,951x = 661,416 × 661,416
  4. Step 4: Simplify right side
    303,951x = 437,471,125,056
  5. Step 5: Solve for x
    x = 437,471,125,056/303,951
  6. Step 6: Final answer
    x = 1,439,281.74

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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.