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Finding the Third Proportional to 127,509.75 and 187,738.88

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Solution

The third proportional to 127,509.75 and 187,738.88 is: 276,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,509.75 : 187,738.88 = 187,738.88 : x
  2. Step 2: Convert to fraction form
    127,509.75/187,738.88 = 187,738.88/x
  3. Step 3: Cross multiply
    127,509.75x = 187,738.88 × 187,738.88
  4. Step 4: Simplify right side
    127,509.75x = 35,245,885,186.27
  5. Step 5: Solve for x
    x = 35,245,885,186.27/127,509.75
  6. Step 6: Final answer
    x = 276,417.18

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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.