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Finding the Third Proportional to 216,256 and 344,368

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Solution

The third proportional to 216,256 and 344,368 is: 548,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,256 : 344,368 = 344,368 : x
  2. Step 2: Convert to fraction form
    216,256/344,368 = 344,368/x
  3. Step 3: Cross multiply
    216,256x = 344,368 × 344,368
  4. Step 4: Simplify right side
    216,256x = 118,589,319,424
  5. Step 5: Solve for x
    x = 118,589,319,424/216,256
  6. Step 6: Final answer
    x = 548,374.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.