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Finding the Third Proportional to 133,969 and 288,970

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Solution

The third proportional to 133,969 and 288,970 is: 623,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,969 : 288,970 = 288,970 : x
  2. Step 2: Convert to fraction form
    133,969/288,970 = 288,970/x
  3. Step 3: Cross multiply
    133,969x = 288,970 × 288,970
  4. Step 4: Simplify right side
    133,969x = 83,503,660,900
  5. Step 5: Solve for x
    x = 83,503,660,900/133,969
  6. Step 6: Final answer
    x = 623,305.85

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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.