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Finding the Third Proportional to 218,485,903 and 468,135,808

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Solution

The third proportional to 218,485,903 and 468,135,808 is: 1,003,044,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,903 : 468,135,808 = 468,135,808 : x
  2. Step 2: Convert to fraction form
    218,485,903/468,135,808 = 468,135,808/x
  3. Step 3: Cross multiply
    218,485,903x = 468,135,808 × 468,135,808
  4. Step 4: Simplify right side
    218,485,903x = 219,151,134,731,812,864
  5. Step 5: Solve for x
    x = 219,151,134,731,812,864/218,485,903
  6. Step 6: Final answer
    x = 1,003,044,735.26

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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.