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Finding the Third Proportional to 142,517 and 302,523

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Solution

The third proportional to 142,517 and 302,523 is: 642,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,517 : 302,523 = 302,523 : x
  2. Step 2: Convert to fraction form
    142,517/302,523 = 302,523/x
  3. Step 3: Cross multiply
    142,517x = 302,523 × 302,523
  4. Step 4: Simplify right side
    142,517x = 91,520,165,529
  5. Step 5: Solve for x
    x = 91,520,165,529/142,517
  6. Step 6: Final answer
    x = 642,170.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.