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Finding the Third Proportional to 198,522 and 438,516

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Solution

The third proportional to 198,522 and 438,516 is: 968,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,522 : 438,516 = 438,516 : x
  2. Step 2: Convert to fraction form
    198,522/438,516 = 438,516/x
  3. Step 3: Cross multiply
    198,522x = 438,516 × 438,516
  4. Step 4: Simplify right side
    198,522x = 192,296,282,256
  5. Step 5: Solve for x
    x = 192,296,282,256/198,522
  6. Step 6: Final answer
    x = 968,639.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.