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Finding the Third Proportional to 149,229,640 and 321,134,094

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Solution

The third proportional to 149,229,640 and 321,134,094 is: 691,063,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,229,640 : 321,134,094 = 321,134,094 : x
  2. Step 2: Convert to fraction form
    149,229,640/321,134,094 = 321,134,094/x
  3. Step 3: Cross multiply
    149,229,640x = 321,134,094 × 321,134,094
  4. Step 4: Simplify right side
    149,229,640x = 103,127,106,329,200,832
  5. Step 5: Solve for x
    x = 103,127,106,329,200,832/149,229,640
  6. Step 6: Final answer
    x = 691,063,158.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.