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Finding the Third Proportional to 201,128 and 442,432

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Solution

The third proportional to 201,128 and 442,432 is: 973,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,128 : 442,432 = 442,432 : x
  2. Step 2: Convert to fraction form
    201,128/442,432 = 442,432/x
  3. Step 3: Cross multiply
    201,128x = 442,432 × 442,432
  4. Step 4: Simplify right side
    201,128x = 195,746,074,624
  5. Step 5: Solve for x
    x = 195,746,074,624/201,128
  6. Step 6: Final answer
    x = 973,241.29

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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.