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Finding the Third Proportional to 149,512.50 and 257,964.75

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Solution

The third proportional to 149,512.50 and 257,964.75 is: 445,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,512.50 : 257,964.75 = 257,964.75 : x
  2. Step 2: Convert to fraction form
    149,512.50/257,964.75 = 257,964.75/x
  3. Step 3: Cross multiply
    149,512.50x = 257,964.75 × 257,964.75
  4. Step 4: Simplify right side
    149,512.50x = 66,545,812,242.56
  5. Step 5: Solve for x
    x = 66,545,812,242.56/149,512.50
  6. Step 6: Final answer
    x = 445,085.28

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.