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Finding the Third Proportional to 8,577,261 and 18,834,137

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Solution

The third proportional to 8,577,261 and 18,834,137 is: 41,356,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577,261 : 18,834,137 = 18,834,137 : x
  2. Step 2: Convert to fraction form
    8,577,261/18,834,137 = 18,834,137/x
  3. Step 3: Cross multiply
    8,577,261x = 18,834,137 × 18,834,137
  4. Step 4: Simplify right side
    8,577,261x = 354,724,716,534,769
  5. Step 5: Solve for x
    x = 354,724,716,534,769/8,577,261
  6. Step 6: Final answer
    x = 41,356,409.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.