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Finding the Third Proportional to 128,748.75 and 279,663.75

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Solution

The third proportional to 128,748.75 and 279,663.75 is: 607,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,748.75 : 279,663.75 = 279,663.75 : x
  2. Step 2: Convert to fraction form
    128,748.75/279,663.75 = 279,663.75/x
  3. Step 3: Cross multiply
    128,748.75x = 279,663.75 × 279,663.75
  4. Step 4: Simplify right side
    128,748.75x = 78,211,813,064.06
  5. Step 5: Solve for x
    x = 78,211,813,064.06/128,748.75
  6. Step 6: Final answer
    x = 607,476.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.