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Finding the Third Proportional to 134,886 and 289,452

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Solution

The third proportional to 134,886 and 289,452 is: 621,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,886 : 289,452 = 289,452 : x
  2. Step 2: Convert to fraction form
    134,886/289,452 = 289,452/x
  3. Step 3: Cross multiply
    134,886x = 289,452 × 289,452
  4. Step 4: Simplify right side
    134,886x = 83,782,460,304
  5. Step 5: Solve for x
    x = 83,782,460,304/134,886
  6. Step 6: Final answer
    x = 621,135.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.