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Finding the Third Proportional to 138,858 and 287,562

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Solution

The third proportional to 138,858 and 287,562 is: 595,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858 : 287,562 = 287,562 : x
  2. Step 2: Convert to fraction form
    138,858/287,562 = 287,562/x
  3. Step 3: Cross multiply
    138,858x = 287,562 × 287,562
  4. Step 4: Simplify right side
    138,858x = 82,691,903,844
  5. Step 5: Solve for x
    x = 82,691,903,844/138,858
  6. Step 6: Final answer
    x = 595,514.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.