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Finding the Third Proportional to 287,568 and 604,880

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Solution

The third proportional to 287,568 and 604,880 is: 1,272,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,568 : 604,880 = 604,880 : x
  2. Step 2: Convert to fraction form
    287,568/604,880 = 604,880/x
  3. Step 3: Cross multiply
    287,568x = 604,880 × 604,880
  4. Step 4: Simplify right side
    287,568x = 365,879,814,400
  5. Step 5: Solve for x
    x = 365,879,814,400/287,568
  6. Step 6: Final answer
    x = 1,272,324.51

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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.