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Finding the Third Proportional to 199,644 and 435,418

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Solution

The third proportional to 199,644 and 435,418 is: 949,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,644 : 435,418 = 435,418 : x
  2. Step 2: Convert to fraction form
    199,644/435,418 = 435,418/x
  3. Step 3: Cross multiply
    199,644x = 435,418 × 435,418
  4. Step 4: Simplify right side
    199,644x = 189,588,834,724
  5. Step 5: Solve for x
    x = 189,588,834,724/199,644
  6. Step 6: Final answer
    x = 949,634.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.