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Finding the Third Proportional to 76,505,841 and 165,101,782.50

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Solution

The third proportional to 76,505,841 and 165,101,782.50 is: 356,294,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505,841 : 165,101,782.50 = 165,101,782.50 : x
  2. Step 2: Convert to fraction form
    76,505,841/165,101,782.50 = 165,101,782.50/x
  3. Step 3: Cross multiply
    76,505,841x = 165,101,782.50 × 165,101,782.50
  4. Step 4: Simplify right side
    76,505,841x = 27,258,598,584,677,308
  5. Step 5: Solve for x
    x = 27,258,598,584,677,308/76,505,841
  6. Step 6: Final answer
    x = 356,294,346.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.