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Finding the Third Proportional to 141,322,576 and 212,691,480

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Solution

The third proportional to 141,322,576 and 212,691,480 is: 320,102,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,322,576 : 212,691,480 = 212,691,480 : x
  2. Step 2: Convert to fraction form
    141,322,576/212,691,480 = 212,691,480/x
  3. Step 3: Cross multiply
    141,322,576x = 212,691,480 × 212,691,480
  4. Step 4: Simplify right side
    141,322,576x = 45,237,665,664,590,400
  5. Step 5: Solve for x
    x = 45,237,665,664,590,400/141,322,576
  6. Step 6: Final answer
    x = 320,102,187.10

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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.