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Finding the Third Proportional to 104,968,112.50 and 229,038,457

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Solution

The third proportional to 104,968,112.50 and 229,038,457 is: 499,757,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,968,112.50 : 229,038,457 = 229,038,457 : x
  2. Step 2: Convert to fraction form
    104,968,112.50/229,038,457 = 229,038,457/x
  3. Step 3: Cross multiply
    104,968,112.50x = 229,038,457 × 229,038,457
  4. Step 4: Simplify right side
    104,968,112.50x = 52,458,614,784,940,848
  5. Step 5: Solve for x
    x = 52,458,614,784,940,848/104,968,112.50
  6. Step 6: Final answer
    x = 499,757,626.73

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Why These Related Problems?

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