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Finding the Third Proportional to 145,648 and 219,498

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Solution

The third proportional to 145,648 and 219,498 is: 330,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,648 : 219,498 = 219,498 : x
  2. Step 2: Convert to fraction form
    145,648/219,498 = 219,498/x
  3. Step 3: Cross multiply
    145,648x = 219,498 × 219,498
  4. Step 4: Simplify right side
    145,648x = 48,179,372,004
  5. Step 5: Solve for x
    x = 48,179,372,004/145,648
  6. Step 6: Final answer
    x = 330,793.23

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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.