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Finding the Third Proportional to 199,816 and 427,972

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Solution

The third proportional to 199,816 and 427,972 is: 916,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,816 : 427,972 = 427,972 : x
  2. Step 2: Convert to fraction form
    199,816/427,972 = 427,972/x
  3. Step 3: Cross multiply
    199,816x = 427,972 × 427,972
  4. Step 4: Simplify right side
    199,816x = 183,160,032,784
  5. Step 5: Solve for x
    x = 183,160,032,784/199,816
  6. Step 6: Final answer
    x = 916,643.48

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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.