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Finding the Third Proportional to 145,692 and 219,878

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Solution

The third proportional to 145,692 and 219,878 is: 331,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692 : 219,878 = 219,878 : x
  2. Step 2: Convert to fraction form
    145,692/219,878 = 219,878/x
  3. Step 3: Cross multiply
    145,692x = 219,878 × 219,878
  4. Step 4: Simplify right side
    145,692x = 48,346,334,884
  5. Step 5: Solve for x
    x = 48,346,334,884/145,692
  6. Step 6: Final answer
    x = 331,839.32

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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.