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Finding the Third Proportional to 133,720 and 288,338

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Solution

The third proportional to 133,720 and 288,338 is: 621,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,720 : 288,338 = 288,338 : x
  2. Step 2: Convert to fraction form
    133,720/288,338 = 288,338/x
  3. Step 3: Cross multiply
    133,720x = 288,338 × 288,338
  4. Step 4: Simplify right side
    133,720x = 83,138,802,244
  5. Step 5: Solve for x
    x = 83,138,802,244/133,720
  6. Step 6: Final answer
    x = 621,737.98

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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.