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Finding the Third Proportional to 136,220,040 and 204,130,296

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Solution

The third proportional to 136,220,040 and 204,130,296 is: 305,896,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,220,040 : 204,130,296 = 204,130,296 : x
  2. Step 2: Convert to fraction form
    136,220,040/204,130,296 = 204,130,296/x
  3. Step 3: Cross multiply
    136,220,040x = 204,130,296 × 204,130,296
  4. Step 4: Simplify right side
    136,220,040x = 41,669,177,745,047,616
  5. Step 5: Solve for x
    x = 41,669,177,745,047,616/136,220,040
  6. Step 6: Final answer
    x = 305,896,090.95

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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.