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Finding the Third Proportional to 518,265 and 799,539.19

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Solution

The third proportional to 518,265 and 799,539.19 is: 1,233,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,265 : 799,539.19 = 799,539.19 : x
  2. Step 2: Convert to fraction form
    518,265/799,539.19 = 799,539.19/x
  3. Step 3: Cross multiply
    518,265x = 799,539.19 × 799,539.19
  4. Step 4: Simplify right side
    518,265x = 639,262,912,348.16
  5. Step 5: Solve for x
    x = 639,262,912,348.16/518,265
  6. Step 6: Final answer
    x = 1,233,467.27

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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.