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Finding the Third Proportional to 104,968,112 and 229,038,456

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Solution

The third proportional to 104,968,112 and 229,038,456 is: 499,757,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,968,112 : 229,038,456 = 229,038,456 : x
  2. Step 2: Convert to fraction form
    104,968,112/229,038,456 = 229,038,456/x
  3. Step 3: Cross multiply
    104,968,112x = 229,038,456 × 229,038,456
  4. Step 4: Simplify right side
    104,968,112x = 52,458,614,326,863,936
  5. Step 5: Solve for x
    x = 52,458,614,326,863,936/104,968,112
  6. Step 6: Final answer
    x = 499,757,624.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.