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Finding the Third Proportional to 40,180,009 and 87,209,699

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Solution

The third proportional to 40,180,009 and 87,209,699 is: 189,286,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,180,009 : 87,209,699 = 87,209,699 : x
  2. Step 2: Convert to fraction form
    40,180,009/87,209,699 = 87,209,699/x
  3. Step 3: Cross multiply
    40,180,009x = 87,209,699 × 87,209,699
  4. Step 4: Simplify right side
    40,180,009x = 7,605,531,599,670,601
  5. Step 5: Solve for x
    x = 7,605,531,599,670,601/40,180,009
  6. Step 6: Final answer
    x = 189,286,458.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.