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Finding the Third Proportional to 127,579.50 and 187,678.25

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Solution

The third proportional to 127,579.50 and 187,678.25 is: 276,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,579.50 : 187,678.25 = 187,678.25 : x
  2. Step 2: Convert to fraction form
    127,579.50/187,678.25 = 187,678.25/x
  3. Step 3: Cross multiply
    127,579.50x = 187,678.25 × 187,678.25
  4. Step 4: Simplify right side
    127,579.50x = 35,223,125,523.06
  5. Step 5: Solve for x
    x = 35,223,125,523.06/127,579.50
  6. Step 6: Final answer
    x = 276,087.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.