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Finding the Third Proportional to 84,867 and 124,816.50

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Solution

The third proportional to 84,867 and 124,816.50 is: 183,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,867 : 124,816.50 = 124,816.50 : x
  2. Step 2: Convert to fraction form
    84,867/124,816.50 = 124,816.50/x
  3. Step 3: Cross multiply
    84,867x = 124,816.50 × 124,816.50
  4. Step 4: Simplify right side
    84,867x = 15,579,158,672.25
  5. Step 5: Solve for x
    x = 15,579,158,672.25/84,867
  6. Step 6: Final answer
    x = 183,571.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.