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Finding the Third Proportional to 281,947.75 and 437,238.25

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Solution

The third proportional to 281,947.75 and 437,238.25 is: 678,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,947.75 : 437,238.25 = 437,238.25 : x
  2. Step 2: Convert to fraction form
    281,947.75/437,238.25 = 437,238.25/x
  3. Step 3: Cross multiply
    281,947.75x = 437,238.25 × 437,238.25
  4. Step 4: Simplify right side
    281,947.75x = 191,177,287,263.06
  5. Step 5: Solve for x
    x = 191,177,287,263.06/281,947.75
  6. Step 6: Final answer
    x = 678,059.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.