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Finding the Third Proportional to 133,710.75 and 275,896.13

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Solution

The third proportional to 133,710.75 and 275,896.13 is: 569,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710.75 : 275,896.13 = 275,896.13 : x
  2. Step 2: Convert to fraction form
    133,710.75/275,896.13 = 275,896.13/x
  3. Step 3: Cross multiply
    133,710.75x = 275,896.13 × 275,896.13
  4. Step 4: Simplify right side
    133,710.75x = 76,118,671,790.02
  5. Step 5: Solve for x
    x = 76,118,671,790.02/133,710.75
  6. Step 6: Final answer
    x = 569,278.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.