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Finding the Third Proportional to 117,316,296 and 159,764,770.50

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Solution

The third proportional to 117,316,296 and 159,764,770.50 is: 217,572,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316,296 : 159,764,770.50 = 159,764,770.50 : x
  2. Step 2: Convert to fraction form
    117,316,296/159,764,770.50 = 159,764,770.50/x
  3. Step 3: Cross multiply
    117,316,296x = 159,764,770.50 × 159,764,770.50
  4. Step 4: Simplify right side
    117,316,296x = 25,524,781,892,917,672
  5. Step 5: Solve for x
    x = 25,524,781,892,917,672/117,316,296
  6. Step 6: Final answer
    x = 217,572,347.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.