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Finding the Third Proportional to 145,654.50 and 219,819

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Solution

The third proportional to 145,654.50 and 219,819 is: 331,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,654.50 : 219,819 = 219,819 : x
  2. Step 2: Convert to fraction form
    145,654.50/219,819 = 219,819/x
  3. Step 3: Cross multiply
    145,654.50x = 219,819 × 219,819
  4. Step 4: Simplify right side
    145,654.50x = 48,320,392,761
  5. Step 5: Solve for x
    x = 48,320,392,761/145,654.50
  6. Step 6: Final answer
    x = 331,746.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.