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Finding the Third Proportional to 123,639.75 and 266,476.50

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Solution

The third proportional to 123,639.75 and 266,476.50 is: 574,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,639.75 : 266,476.50 = 266,476.50 : x
  2. Step 2: Convert to fraction form
    123,639.75/266,476.50 = 266,476.50/x
  3. Step 3: Cross multiply
    123,639.75x = 266,476.50 × 266,476.50
  4. Step 4: Simplify right side
    123,639.75x = 71,009,725,052.25
  5. Step 5: Solve for x
    x = 71,009,725,052.25/123,639.75
  6. Step 6: Final answer
    x = 574,327.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.