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Finding the Third Proportional to 102,541 and 221,438

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Solution

The third proportional to 102,541 and 221,438 is: 478,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,541 : 221,438 = 221,438 : x
  2. Step 2: Convert to fraction form
    102,541/221,438 = 221,438/x
  3. Step 3: Cross multiply
    102,541x = 221,438 × 221,438
  4. Step 4: Simplify right side
    102,541x = 49,034,787,844
  5. Step 5: Solve for x
    x = 49,034,787,844/102,541
  6. Step 6: Final answer
    x = 478,196.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.