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Finding the Third Proportional to 106,646 and 161,102.50

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Solution

The third proportional to 106,646 and 161,102.50 is: 243,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,646 : 161,102.50 = 161,102.50 : x
  2. Step 2: Convert to fraction form
    106,646/161,102.50 = 161,102.50/x
  3. Step 3: Cross multiply
    106,646x = 161,102.50 × 161,102.50
  4. Step 4: Simplify right side
    106,646x = 25,954,015,506.25
  5. Step 5: Solve for x
    x = 25,954,015,506.25/106,646
  6. Step 6: Final answer
    x = 243,366.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.