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Finding the Third Proportional to 516,990 and 757,462

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Solution

The third proportional to 516,990 and 757,462 is: 1,109,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,990 : 757,462 = 757,462 : x
  2. Step 2: Convert to fraction form
    516,990/757,462 = 757,462/x
  3. Step 3: Cross multiply
    516,990x = 757,462 × 757,462
  4. Step 4: Simplify right side
    516,990x = 573,748,681,444
  5. Step 5: Solve for x
    x = 573,748,681,444/516,990
  6. Step 6: Final answer
    x = 1,109,786.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.