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Finding the Third Proportional to 205,597.50 and 438,339

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Solution

The third proportional to 205,597.50 and 438,339 is: 934,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,597.50 : 438,339 = 438,339 : x
  2. Step 2: Convert to fraction form
    205,597.50/438,339 = 438,339/x
  3. Step 3: Cross multiply
    205,597.50x = 438,339 × 438,339
  4. Step 4: Simplify right side
    205,597.50x = 192,141,078,921
  5. Step 5: Solve for x
    x = 192,141,078,921/205,597.50
  6. Step 6: Final answer
    x = 934,549.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.