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Finding the Third Proportional to 222,835,867 and 488,718,476

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Solution

The third proportional to 222,835,867 and 488,718,476 is: 1,071,846,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,835,867 : 488,718,476 = 488,718,476 : x
  2. Step 2: Convert to fraction form
    222,835,867/488,718,476 = 488,718,476/x
  3. Step 3: Cross multiply
    222,835,867x = 488,718,476 × 488,718,476
  4. Step 4: Simplify right side
    222,835,867x = 238,845,748,783,762,560
  5. Step 5: Solve for x
    x = 238,845,748,783,762,560/222,835,867
  6. Step 6: Final answer
    x = 1,071,846,072.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.