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Finding the Third Proportional to 352,480,816 and 763,520,096

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Solution

The third proportional to 352,480,816 and 763,520,096 is: 1,653,885,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,480,816 : 763,520,096 = 763,520,096 : x
  2. Step 2: Convert to fraction form
    352,480,816/763,520,096 = 763,520,096/x
  3. Step 3: Cross multiply
    352,480,816x = 763,520,096 × 763,520,096
  4. Step 4: Simplify right side
    352,480,816x = 582,962,936,995,849,216
  5. Step 5: Solve for x
    x = 582,962,936,995,849,216/352,480,816
  6. Step 6: Final answer
    x = 1,653,885,574.86

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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.