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Finding the Third Proportional to 127,534.50 and 279,968.63

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Solution

The third proportional to 127,534.50 and 279,968.63 is: 614,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,534.50 : 279,968.63 = 279,968.63 : x
  2. Step 2: Convert to fraction form
    127,534.50/279,968.63 = 279,968.63/x
  3. Step 3: Cross multiply
    127,534.50x = 279,968.63 × 279,968.63
  4. Step 4: Simplify right side
    127,534.50x = 78,382,430,984.39
  5. Step 5: Solve for x
    x = 78,382,430,984.39/127,534.50
  6. Step 6: Final answer
    x = 614,597.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.