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Finding the Third Proportional to 81,003,110 and 128,679,119

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Solution

The third proportional to 81,003,110 and 128,679,119 is: 204,415,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,003,110 : 128,679,119 = 128,679,119 : x
  2. Step 2: Convert to fraction form
    81,003,110/128,679,119 = 128,679,119/x
  3. Step 3: Cross multiply
    81,003,110x = 128,679,119 × 128,679,119
  4. Step 4: Simplify right side
    81,003,110x = 16,558,315,666,616,160
  5. Step 5: Solve for x
    x = 16,558,315,666,616,160/81,003,110
  6. Step 6: Final answer
    x = 204,415,801.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.