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Finding the Third Proportional to 287,286 and 582,780

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Solution

The third proportional to 287,286 and 582,780 is: 1,182,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,286 : 582,780 = 582,780 : x
  2. Step 2: Convert to fraction form
    287,286/582,780 = 582,780/x
  3. Step 3: Cross multiply
    287,286x = 582,780 × 582,780
  4. Step 4: Simplify right side
    287,286x = 339,632,528,400
  5. Step 5: Solve for x
    x = 339,632,528,400/287,286
  6. Step 6: Final answer
    x = 1,182,210.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.