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Finding the Third Proportional to 136,434 and 287,006

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Solution

The third proportional to 136,434 and 287,006 is: 603,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,434 : 287,006 = 287,006 : x
  2. Step 2: Convert to fraction form
    136,434/287,006 = 287,006/x
  3. Step 3: Cross multiply
    136,434x = 287,006 × 287,006
  4. Step 4: Simplify right side
    136,434x = 82,372,444,036
  5. Step 5: Solve for x
    x = 82,372,444,036/136,434
  6. Step 6: Final answer
    x = 603,753.05

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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.