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Finding the Third Proportional to 76,149,177 and 116,008,354.50

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Solution

The third proportional to 76,149,177 and 116,008,354.50 is: 176,731,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149,177 : 116,008,354.50 = 116,008,354.50 : x
  2. Step 2: Convert to fraction form
    76,149,177/116,008,354.50 = 116,008,354.50/x
  3. Step 3: Cross multiply
    76,149,177x = 116,008,354.50 × 116,008,354.50
  4. Step 4: Simplify right side
    76,149,177x = 13,457,938,313,797,670
  5. Step 5: Solve for x
    x = 13,457,938,313,797,670/76,149,177
  6. Step 6: Final answer
    x = 176,731,237.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.