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Finding the Third Proportional to 207,783 and 485,559

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Solution

The third proportional to 207,783 and 485,559 is: 1,134,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,783 : 485,559 = 485,559 : x
  2. Step 2: Convert to fraction form
    207,783/485,559 = 485,559/x
  3. Step 3: Cross multiply
    207,783x = 485,559 × 485,559
  4. Step 4: Simplify right side
    207,783x = 235,767,542,481
  5. Step 5: Solve for x
    x = 235,767,542,481/207,783
  6. Step 6: Final answer
    x = 1,134,681.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.