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Finding the Third Proportional to 205,447 and 288,466

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Solution

The third proportional to 205,447 and 288,466 is: 405,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,447 : 288,466 = 288,466 : x
  2. Step 2: Convert to fraction form
    205,447/288,466 = 288,466/x
  3. Step 3: Cross multiply
    205,447x = 288,466 × 288,466
  4. Step 4: Simplify right side
    205,447x = 83,212,633,156
  5. Step 5: Solve for x
    x = 83,212,633,156/205,447
  6. Step 6: Final answer
    x = 405,032.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.