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Finding the Third Proportional to 143,854 and 212,992

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Solution

The third proportional to 143,854 and 212,992 is: 315,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,854 : 212,992 = 212,992 : x
  2. Step 2: Convert to fraction form
    143,854/212,992 = 212,992/x
  3. Step 3: Cross multiply
    143,854x = 212,992 × 212,992
  4. Step 4: Simplify right side
    143,854x = 45,365,592,064
  5. Step 5: Solve for x
    x = 45,365,592,064/143,854
  6. Step 6: Final answer
    x = 315,358.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.