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Finding the Third Proportional to 209,624 and 296,332

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Solution

The third proportional to 209,624 and 296,332 is: 418,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,624 : 296,332 = 296,332 : x
  2. Step 2: Convert to fraction form
    209,624/296,332 = 296,332/x
  3. Step 3: Cross multiply
    209,624x = 296,332 × 296,332
  4. Step 4: Simplify right side
    209,624x = 87,812,654,224
  5. Step 5: Solve for x
    x = 87,812,654,224/209,624
  6. Step 6: Final answer
    x = 418,905.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.