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Finding the Third Proportional to 51,450,273,129 and 111,448,007,160

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Solution

The third proportional to 51,450,273,129 and 111,448,007,160 is: 241,410,930,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450,273,129 : 111,448,007,160 = 111,448,007,160 : x
  2. Step 2: Convert to fraction form
    51,450,273,129/111,448,007,160 = 111,448,007,160/x
  3. Step 3: Cross multiply
    51,450,273,129x = 111,448,007,160 × 111,448,007,160
  4. Step 4: Simplify right side
    51,450,273,129x = 12,420,658,299,935,410,618,368
  5. Step 5: Solve for x
    x = 12,420,658,299,935,410,618,368/51,450,273,129
  6. Step 6: Final answer
    x = 241,410,930,293.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.