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Finding the Third Proportional to 128,912 and 285,472

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Solution

The third proportional to 128,912 and 285,472 is: 632,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,912 : 285,472 = 285,472 : x
  2. Step 2: Convert to fraction form
    128,912/285,472 = 285,472/x
  3. Step 3: Cross multiply
    128,912x = 285,472 × 285,472
  4. Step 4: Simplify right side
    128,912x = 81,494,262,784
  5. Step 5: Solve for x
    x = 81,494,262,784/128,912
  6. Step 6: Final answer
    x = 632,169.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.