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Finding the Third Proportional to 55,323,189 and 81,191,109

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Solution

The third proportional to 55,323,189 and 81,191,109 is: 119,154,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,323,189 : 81,191,109 = 81,191,109 : x
  2. Step 2: Convert to fraction form
    55,323,189/81,191,109 = 81,191,109/x
  3. Step 3: Cross multiply
    55,323,189x = 81,191,109 × 81,191,109
  4. Step 4: Simplify right side
    55,323,189x = 6,591,996,180,649,881
  5. Step 5: Solve for x
    x = 6,591,996,180,649,881/55,323,189
  6. Step 6: Final answer
    x = 119,154,305.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.