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Finding the Third Proportional to 145,626 and 219,777

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Solution

The third proportional to 145,626 and 219,777 is: 331,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,626 : 219,777 = 219,777 : x
  2. Step 2: Convert to fraction form
    145,626/219,777 = 219,777/x
  3. Step 3: Cross multiply
    145,626x = 219,777 × 219,777
  4. Step 4: Simplify right side
    145,626x = 48,301,929,729
  5. Step 5: Solve for x
    x = 48,301,929,729/145,626
  6. Step 6: Final answer
    x = 331,684.79

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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.