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Finding the Third Proportional to 133,868 and 288,472

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Solution

The third proportional to 133,868 and 288,472 is: 621,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,868 : 288,472 = 288,472 : x
  2. Step 2: Convert to fraction form
    133,868/288,472 = 288,472/x
  3. Step 3: Cross multiply
    133,868x = 288,472 × 288,472
  4. Step 4: Simplify right side
    133,868x = 83,216,094,784
  5. Step 5: Solve for x
    x = 83,216,094,784/133,868
  6. Step 6: Final answer
    x = 621,627.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.