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Finding the Third Proportional to 280,886 and 601,138

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Solution

The third proportional to 280,886 and 601,138 is: 1,286,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,886 : 601,138 = 601,138 : x
  2. Step 2: Convert to fraction form
    280,886/601,138 = 601,138/x
  3. Step 3: Cross multiply
    280,886x = 601,138 × 601,138
  4. Step 4: Simplify right side
    280,886x = 361,366,895,044
  5. Step 5: Solve for x
    x = 361,366,895,044/280,886
  6. Step 6: Final answer
    x = 1,286,525.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.