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Finding the Third Proportional to 576,517 and 842,559

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Solution

The third proportional to 576,517 and 842,559 is: 1,231,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,517 : 842,559 = 842,559 : x
  2. Step 2: Convert to fraction form
    576,517/842,559 = 842,559/x
  3. Step 3: Cross multiply
    576,517x = 842,559 × 842,559
  4. Step 4: Simplify right side
    576,517x = 709,905,668,481
  5. Step 5: Solve for x
    x = 709,905,668,481/576,517
  6. Step 6: Final answer
    x = 1,231,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.