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Finding the Third Proportional to 208,282 and 431,334

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Solution

The third proportional to 208,282 and 431,334 is: 893,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,282 : 431,334 = 431,334 : x
  2. Step 2: Convert to fraction form
    208,282/431,334 = 431,334/x
  3. Step 3: Cross multiply
    208,282x = 431,334 × 431,334
  4. Step 4: Simplify right side
    208,282x = 186,049,019,556
  5. Step 5: Solve for x
    x = 186,049,019,556/208,282
  6. Step 6: Final answer
    x = 893,255.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.