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Finding the Third Proportional to 518,994,568 and 1,136,571,421.50

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Solution

The third proportional to 518,994,568 and 1,136,571,421.50 is: 2,489,032,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,994,568 : 1,136,571,421.50 = 1,136,571,421.50 : x
  2. Step 2: Convert to fraction form
    518,994,568/1,136,571,421.50 = 1,136,571,421.50/x
  3. Step 3: Cross multiply
    518,994,568x = 1,136,571,421.50 × 1,136,571,421.50
  4. Step 4: Simplify right side
    518,994,568x = 1,291,794,596,170,530,560
  5. Step 5: Solve for x
    x = 1,291,794,596,170,530,560/518,994,568
  6. Step 6: Final answer
    x = 2,489,032,979.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.