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Finding the Third Proportional to 199,878 and 296,772

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Solution

The third proportional to 199,878 and 296,772 is: 440,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,878 : 296,772 = 296,772 : x
  2. Step 2: Convert to fraction form
    199,878/296,772 = 296,772/x
  3. Step 3: Cross multiply
    199,878x = 296,772 × 296,772
  4. Step 4: Simplify right side
    199,878x = 88,073,619,984
  5. Step 5: Solve for x
    x = 88,073,619,984/199,878
  6. Step 6: Final answer
    x = 440,636.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.