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Finding the Third Proportional to 111,469,842 and 233,103,480

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Solution

The third proportional to 111,469,842 and 233,103,480 is: 487,461,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,842 : 233,103,480 = 233,103,480 : x
  2. Step 2: Convert to fraction form
    111,469,842/233,103,480 = 233,103,480/x
  3. Step 3: Cross multiply
    111,469,842x = 233,103,480 × 233,103,480
  4. Step 4: Simplify right side
    111,469,842x = 54,337,232,388,110,400
  5. Step 5: Solve for x
    x = 54,337,232,388,110,400/111,469,842
  6. Step 6: Final answer
    x = 487,461,284.71

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.