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Finding the Third Proportional to 204,342 and 436,620

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Solution

The third proportional to 204,342 and 436,620 is: 932,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,342 : 436,620 = 436,620 : x
  2. Step 2: Convert to fraction form
    204,342/436,620 = 436,620/x
  3. Step 3: Cross multiply
    204,342x = 436,620 × 436,620
  4. Step 4: Simplify right side
    204,342x = 190,637,024,400
  5. Step 5: Solve for x
    x = 190,637,024,400/204,342
  6. Step 6: Final answer
    x = 932,931.19

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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.