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Finding the Third Proportional to 71,109 and 153,621

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Solution

The third proportional to 71,109 and 153,621 is: 331,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,109 : 153,621 = 153,621 : x
  2. Step 2: Convert to fraction form
    71,109/153,621 = 153,621/x
  3. Step 3: Cross multiply
    71,109x = 153,621 × 153,621
  4. Step 4: Simplify right side
    71,109x = 23,599,411,641
  5. Step 5: Solve for x
    x = 23,599,411,641/71,109
  6. Step 6: Final answer
    x = 331,876.58

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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.