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Finding the Third Proportional to 90,302,978 and 197,858,106

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Solution

The third proportional to 90,302,978 and 197,858,106 is: 433,516,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,302,978 : 197,858,106 = 197,858,106 : x
  2. Step 2: Convert to fraction form
    90,302,978/197,858,106 = 197,858,106/x
  3. Step 3: Cross multiply
    90,302,978x = 197,858,106 × 197,858,106
  4. Step 4: Simplify right side
    90,302,978x = 39,147,830,109,907,232
  5. Step 5: Solve for x
    x = 39,147,830,109,907,232/90,302,978
  6. Step 6: Final answer
    x = 433,516,490.56

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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.