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Finding the Third Proportional to 133,769 and 289,048

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Solution

The third proportional to 133,769 and 289,048 is: 624,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,769 : 289,048 = 289,048 : x
  2. Step 2: Convert to fraction form
    133,769/289,048 = 289,048/x
  3. Step 3: Cross multiply
    133,769x = 289,048 × 289,048
  4. Step 4: Simplify right side
    133,769x = 83,548,746,304
  5. Step 5: Solve for x
    x = 83,548,746,304/133,769
  6. Step 6: Final answer
    x = 624,574.80

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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.