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Finding the Third Proportional to 486,113 and 760,831

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Solution

The third proportional to 486,113 and 760,831 is: 1,190,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,113 : 760,831 = 760,831 : x
  2. Step 2: Convert to fraction form
    486,113/760,831 = 760,831/x
  3. Step 3: Cross multiply
    486,113x = 760,831 × 760,831
  4. Step 4: Simplify right side
    486,113x = 578,863,810,561
  5. Step 5: Solve for x
    x = 578,863,810,561/486,113
  6. Step 6: Final answer
    x = 1,190,800.93

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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.