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Finding the Third Proportional to 143,604 and 315,728

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Solution

The third proportional to 143,604 and 315,728 is: 694,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,604 : 315,728 = 315,728 : x
  2. Step 2: Convert to fraction form
    143,604/315,728 = 315,728/x
  3. Step 3: Cross multiply
    143,604x = 315,728 × 315,728
  4. Step 4: Simplify right side
    143,604x = 99,684,169,984
  5. Step 5: Solve for x
    x = 99,684,169,984/143,604
  6. Step 6: Final answer
    x = 694,160.12

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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.