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Finding the Third Proportional to 518,488 and 799,842

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Solution

The third proportional to 518,488 and 799,842 is: 1,233,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,488 : 799,842 = 799,842 : x
  2. Step 2: Convert to fraction form
    518,488/799,842 = 799,842/x
  3. Step 3: Cross multiply
    518,488x = 799,842 × 799,842
  4. Step 4: Simplify right side
    518,488x = 639,747,224,964
  5. Step 5: Solve for x
    x = 639,747,224,964/518,488
  6. Step 6: Final answer
    x = 1,233,870.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.