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Finding the Third Proportional to 136,701 and 287,208

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Solution

The third proportional to 136,701 and 287,208 is: 603,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,701 : 287,208 = 287,208 : x
  2. Step 2: Convert to fraction form
    136,701/287,208 = 287,208/x
  3. Step 3: Cross multiply
    136,701x = 287,208 × 287,208
  4. Step 4: Simplify right side
    136,701x = 82,488,435,264
  5. Step 5: Solve for x
    x = 82,488,435,264/136,701
  6. Step 6: Final answer
    x = 603,422.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.