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Finding the Third Proportional to 102,878 and 155,607

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Solution

The third proportional to 102,878 and 155,607 is: 235,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,878 : 155,607 = 155,607 : x
  2. Step 2: Convert to fraction form
    102,878/155,607 = 155,607/x
  3. Step 3: Cross multiply
    102,878x = 155,607 × 155,607
  4. Step 4: Simplify right side
    102,878x = 24,213,538,449
  5. Step 5: Solve for x
    x = 24,213,538,449/102,878
  6. Step 6: Final answer
    x = 235,361.68

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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.