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Finding the Third Proportional to 128,306 and 308,714

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Solution

The third proportional to 128,306 and 308,714 is: 742,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,306 : 308,714 = 308,714 : x
  2. Step 2: Convert to fraction form
    128,306/308,714 = 308,714/x
  3. Step 3: Cross multiply
    128,306x = 308,714 × 308,714
  4. Step 4: Simplify right side
    128,306x = 95,304,333,796
  5. Step 5: Solve for x
    x = 95,304,333,796/128,306
  6. Step 6: Final answer
    x = 742,789.38

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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.