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Finding the Third Proportional to 143,791 and 302,453

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Solution

The third proportional to 143,791 and 302,453 is: 636,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,791 : 302,453 = 302,453 : x
  2. Step 2: Convert to fraction form
    143,791/302,453 = 302,453/x
  3. Step 3: Cross multiply
    143,791x = 302,453 × 302,453
  4. Step 4: Simplify right side
    143,791x = 91,477,817,209
  5. Step 5: Solve for x
    x = 91,477,817,209/143,791
  6. Step 6: Final answer
    x = 636,185.97

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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.