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Finding the Third Proportional to 128,719.50 and 283,617

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Solution

The third proportional to 128,719.50 and 283,617 is: 624,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,719.50 : 283,617 = 283,617 : x
  2. Step 2: Convert to fraction form
    128,719.50/283,617 = 283,617/x
  3. Step 3: Cross multiply
    128,719.50x = 283,617 × 283,617
  4. Step 4: Simplify right side
    128,719.50x = 80,438,602,689
  5. Step 5: Solve for x
    x = 80,438,602,689/128,719.50
  6. Step 6: Final answer
    x = 624,913.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.