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Finding the Third Proportional to 143,766 and 313,637

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Solution

The third proportional to 143,766 and 313,637 is: 684,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,766 : 313,637 = 313,637 : x
  2. Step 2: Convert to fraction form
    143,766/313,637 = 313,637/x
  3. Step 3: Cross multiply
    143,766x = 313,637 × 313,637
  4. Step 4: Simplify right side
    143,766x = 98,368,167,769
  5. Step 5: Solve for x
    x = 98,368,167,769/143,766
  6. Step 6: Final answer
    x = 684,224.14

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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.