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Finding the Third Proportional to 200,971 and 442,423

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Solution

The third proportional to 200,971 and 442,423 is: 973,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,971 : 442,423 = 442,423 : x
  2. Step 2: Convert to fraction form
    200,971/442,423 = 442,423/x
  3. Step 3: Cross multiply
    200,971x = 442,423 × 442,423
  4. Step 4: Simplify right side
    200,971x = 195,738,110,929
  5. Step 5: Solve for x
    x = 195,738,110,929/200,971
  6. Step 6: Final answer
    x = 973,961.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.