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Finding the Third Proportional to 90,302,980 and 197,858,109

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Solution

The third proportional to 90,302,980 and 197,858,109 is: 433,516,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,302,980 : 197,858,109 = 197,858,109 : x
  2. Step 2: Convert to fraction form
    90,302,980/197,858,109 = 197,858,109/x
  3. Step 3: Cross multiply
    90,302,980x = 197,858,109 × 197,858,109
  4. Step 4: Simplify right side
    90,302,980x = 39,147,831,297,055,880
  5. Step 5: Solve for x
    x = 39,147,831,297,055,880/90,302,980
  6. Step 6: Final answer
    x = 433,516,494.11

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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.