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Finding the Third Proportional to 114,310 and 154,198.50

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Solution

The third proportional to 114,310 and 154,198.50 is: 208,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,310 : 154,198.50 = 154,198.50 : x
  2. Step 2: Convert to fraction form
    114,310/154,198.50 = 154,198.50/x
  3. Step 3: Cross multiply
    114,310x = 154,198.50 × 154,198.50
  4. Step 4: Simplify right side
    114,310x = 23,777,177,402.25
  5. Step 5: Solve for x
    x = 23,777,177,402.25/114,310
  6. Step 6: Final answer
    x = 208,006.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.