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Finding the Third Proportional to 516,132 and 811,062

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Solution

The third proportional to 516,132 and 811,062 is: 1,274,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,132 : 811,062 = 811,062 : x
  2. Step 2: Convert to fraction form
    516,132/811,062 = 811,062/x
  3. Step 3: Cross multiply
    516,132x = 811,062 × 811,062
  4. Step 4: Simplify right side
    516,132x = 657,821,567,844
  5. Step 5: Solve for x
    x = 657,821,567,844/516,132
  6. Step 6: Final answer
    x = 1,274,521.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.