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Finding the Third Proportional to 102,840 and 225,354

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Solution

The third proportional to 102,840 and 225,354 is: 493,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,840 : 225,354 = 225,354 : x
  2. Step 2: Convert to fraction form
    102,840/225,354 = 225,354/x
  3. Step 3: Cross multiply
    102,840x = 225,354 × 225,354
  4. Step 4: Simplify right side
    102,840x = 50,784,425,316
  5. Step 5: Solve for x
    x = 50,784,425,316/102,840
  6. Step 6: Final answer
    x = 493,819.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.