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Finding the Third Proportional to 411,416,208 and 878,628,816

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Solution

The third proportional to 411,416,208 and 878,628,816 is: 1,876,417,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416,208 : 878,628,816 = 878,628,816 : x
  2. Step 2: Convert to fraction form
    411,416,208/878,628,816 = 878,628,816/x
  3. Step 3: Cross multiply
    411,416,208x = 878,628,816 × 878,628,816
  4. Step 4: Simplify right side
    411,416,208x = 771,988,596,305,561,856
  5. Step 5: Solve for x
    x = 771,988,596,305,561,856/411,416,208
  6. Step 6: Final answer
    x = 1,876,417,557.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.