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Finding the Third Proportional to 199,820 and 427,984

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Solution

The third proportional to 199,820 and 427,984 is: 916,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 427,984 = 427,984 : x
  2. Step 2: Convert to fraction form
    199,820/427,984 = 427,984/x
  3. Step 3: Cross multiply
    199,820x = 427,984 × 427,984
  4. Step 4: Simplify right side
    199,820x = 183,170,304,256
  5. Step 5: Solve for x
    x = 183,170,304,256/199,820
  6. Step 6: Final answer
    x = 916,676.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.