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Finding the Third Proportional to 76,566,063 and 114,905,092.50

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Solution

The third proportional to 76,566,063 and 114,905,092.50 is: 172,441,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,063 : 114,905,092.50 = 114,905,092.50 : x
  2. Step 2: Convert to fraction form
    76,566,063/114,905,092.50 = 114,905,092.50/x
  3. Step 3: Cross multiply
    76,566,063x = 114,905,092.50 × 114,905,092.50
  4. Step 4: Simplify right side
    76,566,063x = 13,203,180,282,433,556
  5. Step 5: Solve for x
    x = 13,203,180,282,433,556/76,566,063
  6. Step 6: Final answer
    x = 172,441,676.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.