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Finding the Third Proportional to 133,057.69 and 287,438.63

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Solution

The third proportional to 133,057.69 and 287,438.63 is: 620,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057.69 : 287,438.63 = 287,438.63 : x
  2. Step 2: Convert to fraction form
    133,057.69/287,438.63 = 287,438.63/x
  3. Step 3: Cross multiply
    133,057.69x = 287,438.63 × 287,438.63
  4. Step 4: Simplify right side
    133,057.69x = 82,620,963,141.89
  5. Step 5: Solve for x
    x = 82,620,963,141.89/133,057.69
  6. Step 6: Final answer
    x = 620,940.92

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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.