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Finding the Third Proportional to 123,476.25 and 252,783.75

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Solution

The third proportional to 123,476.25 and 252,783.75 is: 517,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,476.25 : 252,783.75 = 252,783.75 : x
  2. Step 2: Convert to fraction form
    123,476.25/252,783.75 = 252,783.75/x
  3. Step 3: Cross multiply
    123,476.25x = 252,783.75 × 252,783.75
  4. Step 4: Simplify right side
    123,476.25x = 63,899,624,264.06
  5. Step 5: Solve for x
    x = 63,899,624,264.06/123,476.25
  6. Step 6: Final answer
    x = 517,505.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.