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Finding the Third Proportional to 153,991,048.50 and 320,720,278.50

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Solution

The third proportional to 153,991,048.50 and 320,720,278.50 is: 667,970,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991,048.50 : 320,720,278.50 = 320,720,278.50 : x
  2. Step 2: Convert to fraction form
    153,991,048.50/320,720,278.50 = 320,720,278.50/x
  3. Step 3: Cross multiply
    153,991,048.50x = 320,720,278.50 × 320,720,278.50
  4. Step 4: Simplify right side
    153,991,048.50x = 102,861,497,041,117,568
  5. Step 5: Solve for x
    x = 102,861,497,041,117,568/153,991,048.50
  6. Step 6: Final answer
    x = 667,970,625.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.