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Finding the Third Proportional to 133,574,350.50 and 204,334,120.50

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Solution

The third proportional to 133,574,350.50 and 204,334,120.50 is: 312,578,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574,350.50 : 204,334,120.50 = 204,334,120.50 : x
  2. Step 2: Convert to fraction form
    133,574,350.50/204,334,120.50 = 204,334,120.50/x
  3. Step 3: Cross multiply
    133,574,350.50x = 204,334,120.50 × 204,334,120.50
  4. Step 4: Simplify right side
    133,574,350.50x = 41,752,432,800,508,520
  5. Step 5: Solve for x
    x = 41,752,432,800,508,520/133,574,350.50
  6. Step 6: Final answer
    x = 312,578,220.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.