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Finding the Third Proportional to 143,111 and 313,438

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Solution

The third proportional to 143,111 and 313,438 is: 686,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,111 : 313,438 = 313,438 : x
  2. Step 2: Convert to fraction form
    143,111/313,438 = 313,438/x
  3. Step 3: Cross multiply
    143,111x = 313,438 × 313,438
  4. Step 4: Simplify right side
    143,111x = 98,243,379,844
  5. Step 5: Solve for x
    x = 98,243,379,844/143,111
  6. Step 6: Final answer
    x = 686,483.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.