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Finding the Third Proportional to 322,470 and 697,472

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Solution

The third proportional to 322,470 and 697,472 is: 1,508,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,470 : 697,472 = 697,472 : x
  2. Step 2: Convert to fraction form
    322,470/697,472 = 697,472/x
  3. Step 3: Cross multiply
    322,470x = 697,472 × 697,472
  4. Step 4: Simplify right side
    322,470x = 486,467,190,784
  5. Step 5: Solve for x
    x = 486,467,190,784/322,470
  6. Step 6: Final answer
    x = 1,508,565.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.