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Finding the Third Proportional to 149,133,036.38 and 324,080,404.50

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Solution

The third proportional to 149,133,036.38 and 324,080,404.50 is: 704,257,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,036.38 : 324,080,404.50 = 324,080,404.50 : x
  2. Step 2: Convert to fraction form
    149,133,036.38/324,080,404.50 = 324,080,404.50/x
  3. Step 3: Cross multiply
    149,133,036.38x = 324,080,404.50 × 324,080,404.50
  4. Step 4: Simplify right side
    149,133,036.38x = 105,028,108,580,883,616
  5. Step 5: Solve for x
    x = 105,028,108,580,883,616/149,133,036.38
  6. Step 6: Final answer
    x = 704,257,830.01

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