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Finding the Third Proportional to 133,632 and 287,998

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Solution

The third proportional to 133,632 and 287,998 is: 620,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,632 : 287,998 = 287,998 : x
  2. Step 2: Convert to fraction form
    133,632/287,998 = 287,998/x
  3. Step 3: Cross multiply
    133,632x = 287,998 × 287,998
  4. Step 4: Simplify right side
    133,632x = 82,942,848,004
  5. Step 5: Solve for x
    x = 82,942,848,004/133,632
  6. Step 6: Final answer
    x = 620,681.03

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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.