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Finding the Third Proportional to 198,941,265 and 428,115,627

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Solution

The third proportional to 198,941,265 and 428,115,627 is: 921,291,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,941,265 : 428,115,627 = 428,115,627 : x
  2. Step 2: Convert to fraction form
    198,941,265/428,115,627 = 428,115,627/x
  3. Step 3: Cross multiply
    198,941,265x = 428,115,627 × 428,115,627
  4. Step 4: Simplify right side
    198,941,265x = 183,282,990,081,603,136
  5. Step 5: Solve for x
    x = 183,282,990,081,603,136/198,941,265
  6. Step 6: Final answer
    x = 921,291,970.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.