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Finding the Third Proportional to 133,396,400 and 289,057,135

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Solution

The third proportional to 133,396,400 and 289,057,135 is: 626,358,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396,400 : 289,057,135 = 289,057,135 : x
  2. Step 2: Convert to fraction form
    133,396,400/289,057,135 = 289,057,135/x
  3. Step 3: Cross multiply
    133,396,400x = 289,057,135 × 289,057,135
  4. Step 4: Simplify right side
    133,396,400x = 83,554,027,294,408,224
  5. Step 5: Solve for x
    x = 83,554,027,294,408,224/133,396,400
  6. Step 6: Final answer
    x = 626,358,936.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.