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Finding the Third Proportional to 143,753 and 302,395

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Solution

The third proportional to 143,753 and 302,395 is: 636,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,753 : 302,395 = 302,395 : x
  2. Step 2: Convert to fraction form
    143,753/302,395 = 302,395/x
  3. Step 3: Cross multiply
    143,753x = 302,395 × 302,395
  4. Step 4: Simplify right side
    143,753x = 91,442,736,025
  5. Step 5: Solve for x
    x = 91,442,736,025/143,753
  6. Step 6: Final answer
    x = 636,110.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.