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Finding the Third Proportional to 117,788 and 187,609

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Solution

The third proportional to 117,788 and 187,609 is: 298,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,788 : 187,609 = 187,609 : x
  2. Step 2: Convert to fraction form
    117,788/187,609 = 187,609/x
  3. Step 3: Cross multiply
    117,788x = 187,609 × 187,609
  4. Step 4: Simplify right side
    117,788x = 35,197,136,881
  5. Step 5: Solve for x
    x = 35,197,136,881/117,788
  6. Step 6: Final answer
    x = 298,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.