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Finding the Third Proportional to 222,665,766 and 460,605,540

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Solution

The third proportional to 222,665,766 and 460,605,540 is: 952,806,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,665,766 : 460,605,540 = 460,605,540 : x
  2. Step 2: Convert to fraction form
    222,665,766/460,605,540 = 460,605,540/x
  3. Step 3: Cross multiply
    222,665,766x = 460,605,540 × 460,605,540
  4. Step 4: Simplify right side
    222,665,766x = 212,157,463,478,691,584
  5. Step 5: Solve for x
    x = 212,157,463,478,691,584/222,665,766
  6. Step 6: Final answer
    x = 952,806,833.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.