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Finding the Third Proportional to 218,218,575 and 476,435,284.50

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Solution

The third proportional to 218,218,575 and 476,435,284.50 is: 1,040,198,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,218,575 : 476,435,284.50 = 476,435,284.50 : x
  2. Step 2: Convert to fraction form
    218,218,575/476,435,284.50 = 476,435,284.50/x
  3. Step 3: Cross multiply
    218,218,575x = 476,435,284.50 × 476,435,284.50
  4. Step 4: Simplify right side
    218,218,575x = 226,990,580,316,595,936
  5. Step 5: Solve for x
    x = 226,990,580,316,595,936/218,218,575
  6. Step 6: Final answer
    x = 1,040,198,252.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.