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Finding the Third Proportional to 151,308 and 219,858.75

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Solution

The third proportional to 151,308 and 219,858.75 is: 319,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,308 : 219,858.75 = 219,858.75 : x
  2. Step 2: Convert to fraction form
    151,308/219,858.75 = 219,858.75/x
  3. Step 3: Cross multiply
    151,308x = 219,858.75 × 219,858.75
  4. Step 4: Simplify right side
    151,308x = 48,337,869,951.56
  5. Step 5: Solve for x
    x = 48,337,869,951.56/151,308
  6. Step 6: Final answer
    x = 319,466.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.