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Finding the Third Proportional to 122,129,240 and 263,389,816

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Solution

The third proportional to 122,129,240 and 263,389,816 is: 568,039,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,240 : 263,389,816 = 263,389,816 : x
  2. Step 2: Convert to fraction form
    122,129,240/263,389,816 = 263,389,816/x
  3. Step 3: Cross multiply
    122,129,240x = 263,389,816 × 263,389,816
  4. Step 4: Simplify right side
    122,129,240x = 69,374,195,172,513,856
  5. Step 5: Solve for x
    x = 69,374,195,172,513,856/122,129,240
  6. Step 6: Final answer
    x = 568,039,194.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.