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Finding the Third Proportional to 305,324 and 661,472

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Solution

The third proportional to 305,324 and 661,472 is: 1,433,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,324 : 661,472 = 661,472 : x
  2. Step 2: Convert to fraction form
    305,324/661,472 = 661,472/x
  3. Step 3: Cross multiply
    305,324x = 661,472 × 661,472
  4. Step 4: Simplify right side
    305,324x = 437,545,206,784
  5. Step 5: Solve for x
    x = 437,545,206,784/305,324
  6. Step 6: Final answer
    x = 1,433,052.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.