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Finding the Third Proportional to 102,435 and 223,549

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Solution

The third proportional to 102,435 and 223,549 is: 487,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,435 : 223,549 = 223,549 : x
  2. Step 2: Convert to fraction form
    102,435/223,549 = 223,549/x
  3. Step 3: Cross multiply
    102,435x = 223,549 × 223,549
  4. Step 4: Simplify right side
    102,435x = 49,974,155,401
  5. Step 5: Solve for x
    x = 49,974,155,401/102,435
  6. Step 6: Final answer
    x = 487,862.11

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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.