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Finding the Third Proportional to 127,986.75 and 279,265.50

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Solution

The third proportional to 127,986.75 and 279,265.50 is: 609,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,986.75 : 279,265.50 = 279,265.50 : x
  2. Step 2: Convert to fraction form
    127,986.75/279,265.50 = 279,265.50/x
  3. Step 3: Cross multiply
    127,986.75x = 279,265.50 × 279,265.50
  4. Step 4: Simplify right side
    127,986.75x = 77,989,219,490.25
  5. Step 5: Solve for x
    x = 77,989,219,490.25/127,986.75
  6. Step 6: Final answer
    x = 609,353.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.