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Finding the Third Proportional to 143,502 and 315,519

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Solution

The third proportional to 143,502 and 315,519 is: 693,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,502 : 315,519 = 315,519 : x
  2. Step 2: Convert to fraction form
    143,502/315,519 = 315,519/x
  3. Step 3: Cross multiply
    143,502x = 315,519 × 315,519
  4. Step 4: Simplify right side
    143,502x = 99,552,239,361
  5. Step 5: Solve for x
    x = 99,552,239,361/143,502
  6. Step 6: Final answer
    x = 693,734.16

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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.