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Finding the Third Proportional to 145,658 and 219,824

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Solution

The third proportional to 145,658 and 219,824 is: 331,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,658 : 219,824 = 219,824 : x
  2. Step 2: Convert to fraction form
    145,658/219,824 = 219,824/x
  3. Step 3: Cross multiply
    145,658x = 219,824 × 219,824
  4. Step 4: Simplify right side
    145,658x = 48,322,590,976
  5. Step 5: Solve for x
    x = 48,322,590,976/145,658
  6. Step 6: Final answer
    x = 331,753.77

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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.