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Finding the Third Proportional to 128,520 and 309,672

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Solution

The third proportional to 128,520 and 309,672 is: 746,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,520 : 309,672 = 309,672 : x
  2. Step 2: Convert to fraction form
    128,520/309,672 = 309,672/x
  3. Step 3: Cross multiply
    128,520x = 309,672 × 309,672
  4. Step 4: Simplify right side
    128,520x = 95,896,747,584
  5. Step 5: Solve for x
    x = 95,896,747,584/128,520
  6. Step 6: Final answer
    x = 746,162.06

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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.