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Finding the Third Proportional to 133,017,163 and 310,788,122

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Solution

The third proportional to 133,017,163 and 310,788,122 is: 726,141,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,017,163 : 310,788,122 = 310,788,122 : x
  2. Step 2: Convert to fraction form
    133,017,163/310,788,122 = 310,788,122/x
  3. Step 3: Cross multiply
    133,017,163x = 310,788,122 × 310,788,122
  4. Step 4: Simplify right side
    133,017,163x = 96,589,256,776,286,880
  5. Step 5: Solve for x
    x = 96,589,256,776,286,880/133,017,163
  6. Step 6: Final answer
    x = 726,141,308.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.