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Finding the Third Proportional to 136,066 and 287,257

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Solution

The third proportional to 136,066 and 287,257 is: 606,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,066 : 287,257 = 287,257 : x
  2. Step 2: Convert to fraction form
    136,066/287,257 = 287,257/x
  3. Step 3: Cross multiply
    136,066x = 287,257 × 287,257
  4. Step 4: Simplify right side
    136,066x = 82,516,584,049
  5. Step 5: Solve for x
    x = 82,516,584,049/136,066
  6. Step 6: Final answer
    x = 606,445.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.