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Finding the Third Proportional to 143,425 and 315,158

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Solution

The third proportional to 143,425 and 315,158 is: 692,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,425 : 315,158 = 315,158 : x
  2. Step 2: Convert to fraction form
    143,425/315,158 = 315,158/x
  3. Step 3: Cross multiply
    143,425x = 315,158 × 315,158
  4. Step 4: Simplify right side
    143,425x = 99,324,564,964
  5. Step 5: Solve for x
    x = 99,324,564,964/143,425
  6. Step 6: Final answer
    x = 692,519.19

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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.