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Finding the Third Proportional to 153,991,049 and 320,720,280

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Solution

The third proportional to 153,991,049 and 320,720,280 is: 667,970,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991,049 : 320,720,280 = 320,720,280 : x
  2. Step 2: Convert to fraction form
    153,991,049/320,720,280 = 320,720,280/x
  3. Step 3: Cross multiply
    153,991,049x = 320,720,280 × 320,720,280
  4. Step 4: Simplify right side
    153,991,049x = 102,861,498,003,278,400
  5. Step 5: Solve for x
    x = 102,861,498,003,278,400/153,991,049
  6. Step 6: Final answer
    x = 667,970,629.92

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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.