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Finding the Third Proportional to 132,704,160 and 207,716,760

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Solution

The third proportional to 132,704,160 and 207,716,760 is: 325,131,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,704,160 : 207,716,760 = 207,716,760 : x
  2. Step 2: Convert to fraction form
    132,704,160/207,716,760 = 207,716,760/x
  3. Step 3: Cross multiply
    132,704,160x = 207,716,760 × 207,716,760
  4. Step 4: Simplify right side
    132,704,160x = 43,146,252,384,897,600
  5. Step 5: Solve for x
    x = 43,146,252,384,897,600/132,704,160
  6. Step 6: Final answer
    x = 325,131,121.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.