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Finding the Third Proportional to 199,822 and 427,988

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Solution

The third proportional to 199,822 and 427,988 is: 916,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,822 : 427,988 = 427,988 : x
  2. Step 2: Convert to fraction form
    199,822/427,988 = 427,988/x
  3. Step 3: Cross multiply
    199,822x = 427,988 × 427,988
  4. Step 4: Simplify right side
    199,822x = 183,173,728,144
  5. Step 5: Solve for x
    x = 183,173,728,144/199,822
  6. Step 6: Final answer
    x = 916,684.49

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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.