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Finding the Third Proportional to 192,517,984.50 and 420,314,457

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Solution

The third proportional to 192,517,984.50 and 420,314,457 is: 917,650,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,517,984.50 : 420,314,457 = 420,314,457 : x
  2. Step 2: Convert to fraction form
    192,517,984.50/420,314,457 = 420,314,457/x
  3. Step 3: Cross multiply
    192,517,984.50x = 420,314,457 × 420,314,457
  4. Step 4: Simplify right side
    192,517,984.50x = 176,664,242,763,204,864
  5. Step 5: Solve for x
    x = 176,664,242,763,204,864/192,517,984.50
  6. Step 6: Final answer
    x = 917,650,593.64

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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.