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Finding the Third Proportional to 287,802 and 450,489

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Solution

The third proportional to 287,802 and 450,489 is: 705,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,802 : 450,489 = 450,489 : x
  2. Step 2: Convert to fraction form
    287,802/450,489 = 450,489/x
  3. Step 3: Cross multiply
    287,802x = 450,489 × 450,489
  4. Step 4: Simplify right side
    287,802x = 202,940,339,121
  5. Step 5: Solve for x
    x = 202,940,339,121/287,802
  6. Step 6: Final answer
    x = 705,138.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.