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Finding the Third Proportional to 90,839,601 and 197,012,263.50

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Solution

The third proportional to 90,839,601 and 197,012,263.50 is: 427,278,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,839,601 : 197,012,263.50 = 197,012,263.50 : x
  2. Step 2: Convert to fraction form
    90,839,601/197,012,263.50 = 197,012,263.50/x
  3. Step 3: Cross multiply
    90,839,601x = 197,012,263.50 × 197,012,263.50
  4. Step 4: Simplify right side
    90,839,601x = 38,813,831,969,393,432
  5. Step 5: Solve for x
    x = 38,813,831,969,393,432/90,839,601
  6. Step 6: Final answer
    x = 427,278,758.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.