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Finding the Third Proportional to 522,149,933 and 783,224,992.50

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Solution

The third proportional to 522,149,933 and 783,224,992.50 is: 1,174,837,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,149,933 : 783,224,992.50 = 783,224,992.50 : x
  2. Step 2: Convert to fraction form
    522,149,933/783,224,992.50 = 783,224,992.50/x
  3. Step 3: Cross multiply
    522,149,933x = 783,224,992.50 × 783,224,992.50
  4. Step 4: Simplify right side
    522,149,933x = 613,441,388,876,625,024
  5. Step 5: Solve for x
    x = 613,441,388,876,625,024/522,149,933
  6. Step 6: Final answer
    x = 1,174,837,628.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.