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Finding the Third Proportional to 505,142 and 799,727

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Solution

The third proportional to 505,142 and 799,727 is: 1,266,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,142 : 799,727 = 799,727 : x
  2. Step 2: Convert to fraction form
    505,142/799,727 = 799,727/x
  3. Step 3: Cross multiply
    505,142x = 799,727 × 799,727
  4. Step 4: Simplify right side
    505,142x = 639,563,274,529
  5. Step 5: Solve for x
    x = 639,563,274,529/505,142
  6. Step 6: Final answer
    x = 1,266,105.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.