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Finding the Third Proportional to 136,130,100 and 205,816,126

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Solution

The third proportional to 136,130,100 and 205,816,126 is: 311,174,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,130,100 : 205,816,126 = 205,816,126 : x
  2. Step 2: Convert to fraction form
    136,130,100/205,816,126 = 205,816,126/x
  3. Step 3: Cross multiply
    136,130,100x = 205,816,126 × 205,816,126
  4. Step 4: Simplify right side
    136,130,100x = 42,360,277,721,647,872
  5. Step 5: Solve for x
    x = 42,360,277,721,647,872/136,130,100
  6. Step 6: Final answer
    x = 311,174,954.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.