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Finding the Third Proportional to 198,772,265 and 425,179,458

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Solution

The third proportional to 198,772,265 and 425,179,458 is: 909,470,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,772,265 : 425,179,458 = 425,179,458 : x
  2. Step 2: Convert to fraction form
    198,772,265/425,179,458 = 425,179,458/x
  3. Step 3: Cross multiply
    198,772,265x = 425,179,458 × 425,179,458
  4. Step 4: Simplify right side
    198,772,265x = 180,777,571,505,173,760
  5. Step 5: Solve for x
    x = 180,777,571,505,173,760/198,772,265
  6. Step 6: Final answer
    x = 909,470,803.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.