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Finding the Third Proportional to 198,336 and 436,040

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Solution

The third proportional to 198,336 and 436,040 is: 958,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,336 : 436,040 = 436,040 : x
  2. Step 2: Convert to fraction form
    198,336/436,040 = 436,040/x
  3. Step 3: Cross multiply
    198,336x = 436,040 × 436,040
  4. Step 4: Simplify right side
    198,336x = 190,130,881,600
  5. Step 5: Solve for x
    x = 190,130,881,600/198,336
  6. Step 6: Final answer
    x = 958,630.21

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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.