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Finding the Third Proportional to 142,296 and 190,413

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Solution

The third proportional to 142,296 and 190,413 is: 254,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,296 : 190,413 = 190,413 : x
  2. Step 2: Convert to fraction form
    142,296/190,413 = 190,413/x
  3. Step 3: Cross multiply
    142,296x = 190,413 × 190,413
  4. Step 4: Simplify right side
    142,296x = 36,257,110,569
  5. Step 5: Solve for x
    x = 36,257,110,569/142,296
  6. Step 6: Final answer
    x = 254,800.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.