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Finding the Third Proportional to 217,328 and 343,488

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Solution

The third proportional to 217,328 and 343,488 is: 542,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,328 : 343,488 = 343,488 : x
  2. Step 2: Convert to fraction form
    217,328/343,488 = 343,488/x
  3. Step 3: Cross multiply
    217,328x = 343,488 × 343,488
  4. Step 4: Simplify right side
    217,328x = 117,984,006,144
  5. Step 5: Solve for x
    x = 117,984,006,144/217,328
  6. Step 6: Final answer
    x = 542,884.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.