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Finding the Third Proportional to 84,625.50 and 130,608

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Solution

The third proportional to 84,625.50 and 130,608 is: 201,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,625.50 : 130,608 = 130,608 : x
  2. Step 2: Convert to fraction form
    84,625.50/130,608 = 130,608/x
  3. Step 3: Cross multiply
    84,625.50x = 130,608 × 130,608
  4. Step 4: Simplify right side
    84,625.50x = 17,058,449,664
  5. Step 5: Solve for x
    x = 17,058,449,664/84,625.50
  6. Step 6: Final answer
    x = 201,575.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.