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Finding the Third Proportional to 149,421 and 228,672

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Solution

The third proportional to 149,421 and 228,672 is: 349,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,421 : 228,672 = 228,672 : x
  2. Step 2: Convert to fraction form
    149,421/228,672 = 228,672/x
  3. Step 3: Cross multiply
    149,421x = 228,672 × 228,672
  4. Step 4: Simplify right side
    149,421x = 52,290,883,584
  5. Step 5: Solve for x
    x = 52,290,883,584/149,421
  6. Step 6: Final answer
    x = 349,956.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.