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Finding the Third Proportional to 471,338,412.75 and 1,024,261,630.31

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Solution

The third proportional to 471,338,412.75 and 1,024,261,630.31 is: 2,225,814,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,338,412.75 : 1,024,261,630.31 = 1,024,261,630.31 : x
  2. Step 2: Convert to fraction form
    471,338,412.75/1,024,261,630.31 = 1,024,261,630.31/x
  3. Step 3: Cross multiply
    471,338,412.75x = 1,024,261,630.31 × 1,024,261,630.31
  4. Step 4: Simplify right side
    471,338,412.75x = 1,049,111,887,330,420,480
  5. Step 5: Solve for x
    x = 1,049,111,887,330,420,480/471,338,412.75
  6. Step 6: Final answer
    x = 2,225,814,529.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.