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Finding the Third Proportional to 203,151,916 and 309,480,954

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Solution

The third proportional to 203,151,916 and 309,480,954 is: 471,462,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,151,916 : 309,480,954 = 309,480,954 : x
  2. Step 2: Convert to fraction form
    203,151,916/309,480,954 = 309,480,954/x
  3. Step 3: Cross multiply
    203,151,916x = 309,480,954 × 309,480,954
  4. Step 4: Simplify right side
    203,151,916x = 95,778,460,888,750,112
  5. Step 5: Solve for x
    x = 95,778,460,888,750,112/203,151,916
  6. Step 6: Final answer
    x = 471,462,257.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.