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Finding the Third Proportional to 181,769 and 287,690

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Solution

The third proportional to 181,769 and 287,690 is: 455,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,769 : 287,690 = 287,690 : x
  2. Step 2: Convert to fraction form
    181,769/287,690 = 287,690/x
  3. Step 3: Cross multiply
    181,769x = 287,690 × 287,690
  4. Step 4: Simplify right side
    181,769x = 82,765,536,100
  5. Step 5: Solve for x
    x = 82,765,536,100/181,769
  6. Step 6: Final answer
    x = 455,333.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.