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Finding the Third Proportional to 127,299.50 and 279,060.50

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Solution

The third proportional to 127,299.50 and 279,060.50 is: 611,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,299.50 : 279,060.50 = 279,060.50 : x
  2. Step 2: Convert to fraction form
    127,299.50/279,060.50 = 279,060.50/x
  3. Step 3: Cross multiply
    127,299.50x = 279,060.50 × 279,060.50
  4. Step 4: Simplify right side
    127,299.50x = 77,874,762,660.25
  5. Step 5: Solve for x
    x = 77,874,762,660.25/127,299.50
  6. Step 6: Final answer
    x = 611,744.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.