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Finding the Third Proportional to 133,628 and 287,990

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Solution

The third proportional to 133,628 and 287,990 is: 620,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,628 : 287,990 = 287,990 : x
  2. Step 2: Convert to fraction form
    133,628/287,990 = 287,990/x
  3. Step 3: Cross multiply
    133,628x = 287,990 × 287,990
  4. Step 4: Simplify right side
    133,628x = 82,938,240,100
  5. Step 5: Solve for x
    x = 82,938,240,100/133,628
  6. Step 6: Final answer
    x = 620,665.13

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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.