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Finding the Third Proportional to 133,242,632 and 198,754,860

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Solution

The third proportional to 133,242,632 and 198,754,860 is: 296,477,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,242,632 : 198,754,860 = 198,754,860 : x
  2. Step 2: Convert to fraction form
    133,242,632/198,754,860 = 198,754,860/x
  3. Step 3: Cross multiply
    133,242,632x = 198,754,860 × 198,754,860
  4. Step 4: Simplify right side
    133,242,632x = 39,503,494,373,619,600
  5. Step 5: Solve for x
    x = 39,503,494,373,619,600/133,242,632
  6. Step 6: Final answer
    x = 296,477,889.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.