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Finding the Third Proportional to 77,242.50 and 159,444

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Solution

The third proportional to 77,242.50 and 159,444 is: 329,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242.50 : 159,444 = 159,444 : x
  2. Step 2: Convert to fraction form
    77,242.50/159,444 = 159,444/x
  3. Step 3: Cross multiply
    77,242.50x = 159,444 × 159,444
  4. Step 4: Simplify right side
    77,242.50x = 25,422,389,136
  5. Step 5: Solve for x
    x = 25,422,389,136/77,242.50
  6. Step 6: Final answer
    x = 329,124.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.