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Finding the Third Proportional to 128,307 and 308,716.50

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Solution

The third proportional to 128,307 and 308,716.50 is: 742,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,307 : 308,716.50 = 308,716.50 : x
  2. Step 2: Convert to fraction form
    128,307/308,716.50 = 308,716.50/x
  3. Step 3: Cross multiply
    128,307x = 308,716.50 × 308,716.50
  4. Step 4: Simplify right side
    128,307x = 95,305,877,372.25
  5. Step 5: Solve for x
    x = 95,305,877,372.25/128,307
  6. Step 6: Final answer
    x = 742,795.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.