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Finding the Third Proportional to 128,306 and 309,101

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Solution

The third proportional to 128,306 and 309,101 is: 744,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,306 : 309,101 = 309,101 : x
  2. Step 2: Convert to fraction form
    128,306/309,101 = 309,101/x
  3. Step 3: Cross multiply
    128,306x = 309,101 × 309,101
  4. Step 4: Simplify right side
    128,306x = 95,543,428,201
  5. Step 5: Solve for x
    x = 95,543,428,201/128,306
  6. Step 6: Final answer
    x = 744,652.85

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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.