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Finding the Third Proportional to 82,984,790.25 and 121,786,665.75

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Solution

The third proportional to 82,984,790.25 and 121,786,665.75 is: 178,731,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984,790.25 : 121,786,665.75 = 121,786,665.75 : x
  2. Step 2: Convert to fraction form
    82,984,790.25/121,786,665.75 = 121,786,665.75/x
  3. Step 3: Cross multiply
    82,984,790.25x = 121,786,665.75 × 121,786,665.75
  4. Step 4: Simplify right side
    82,984,790.25x = 14,831,991,954,502,224
  5. Step 5: Solve for x
    x = 14,831,991,954,502,224/82,984,790.25
  6. Step 6: Final answer
    x = 178,731,450.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.