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Finding the Third Proportional to 127,988.25 and 279,303.75

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Solution

The third proportional to 127,988.25 and 279,303.75 is: 609,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,988.25 : 279,303.75 = 279,303.75 : x
  2. Step 2: Convert to fraction form
    127,988.25/279,303.75 = 279,303.75/x
  3. Step 3: Cross multiply
    127,988.25x = 279,303.75 × 279,303.75
  4. Step 4: Simplify right side
    127,988.25x = 78,010,584,764.06
  5. Step 5: Solve for x
    x = 78,010,584,764.06/127,988.25
  6. Step 6: Final answer
    x = 609,513.64

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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.