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Finding the Third Proportional to 217,486 and 306,264

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Solution

The third proportional to 217,486 and 306,264 is: 431,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,486 : 306,264 = 306,264 : x
  2. Step 2: Convert to fraction form
    217,486/306,264 = 306,264/x
  3. Step 3: Cross multiply
    217,486x = 306,264 × 306,264
  4. Step 4: Simplify right side
    217,486x = 93,797,637,696
  5. Step 5: Solve for x
    x = 93,797,637,696/217,486
  6. Step 6: Final answer
    x = 431,281.27

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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.