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Finding the Third Proportional to 145,644 and 219,494

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Solution

The third proportional to 145,644 and 219,494 is: 330,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644 : 219,494 = 219,494 : x
  2. Step 2: Convert to fraction form
    145,644/219,494 = 219,494/x
  3. Step 3: Cross multiply
    145,644x = 219,494 × 219,494
  4. Step 4: Simplify right side
    145,644x = 48,177,616,036
  5. Step 5: Solve for x
    x = 48,177,616,036/145,644
  6. Step 6: Final answer
    x = 330,790.26

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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.