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Finding the Third Proportional to 143,656 and 313,424

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Solution

The third proportional to 143,656 and 313,424 is: 683,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,656 : 313,424 = 313,424 : x
  2. Step 2: Convert to fraction form
    143,656/313,424 = 313,424/x
  3. Step 3: Cross multiply
    143,656x = 313,424 × 313,424
  4. Step 4: Simplify right side
    143,656x = 98,234,603,776
  5. Step 5: Solve for x
    x = 98,234,603,776/143,656
  6. Step 6: Final answer
    x = 683,818.31

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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.