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Finding the Third Proportional to 223,878 and 310,296

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Solution

The third proportional to 223,878 and 310,296 is: 430,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,878 : 310,296 = 310,296 : x
  2. Step 2: Convert to fraction form
    223,878/310,296 = 310,296/x
  3. Step 3: Cross multiply
    223,878x = 310,296 × 310,296
  4. Step 4: Simplify right side
    223,878x = 96,283,607,616
  5. Step 5: Solve for x
    x = 96,283,607,616/223,878
  6. Step 6: Final answer
    x = 430,071.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.