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Finding the Third Proportional to 143,457 and 313,158

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Solution

The third proportional to 143,457 and 313,158 is: 683,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,457 : 313,158 = 313,158 : x
  2. Step 2: Convert to fraction form
    143,457/313,158 = 313,158/x
  3. Step 3: Cross multiply
    143,457x = 313,158 × 313,158
  4. Step 4: Simplify right side
    143,457x = 98,067,932,964
  5. Step 5: Solve for x
    x = 98,067,932,964/143,457
  6. Step 6: Final answer
    x = 683,605.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.