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Finding the Third Proportional to 154,912.50 and 229,486.50

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Solution

The third proportional to 154,912.50 and 229,486.50 is: 339,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,912.50 : 229,486.50 = 229,486.50 : x
  2. Step 2: Convert to fraction form
    154,912.50/229,486.50 = 229,486.50/x
  3. Step 3: Cross multiply
    154,912.50x = 229,486.50 × 229,486.50
  4. Step 4: Simplify right side
    154,912.50x = 52,664,053,682.25
  5. Step 5: Solve for x
    x = 52,664,053,682.25/154,912.50
  6. Step 6: Final answer
    x = 339,960.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.