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Finding the Third Proportional to 400,024,251 and 601,101,445.50

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Solution

The third proportional to 400,024,251 and 601,101,445.50 is: 903,252,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,024,251 : 601,101,445.50 = 601,101,445.50 : x
  2. Step 2: Convert to fraction form
    400,024,251/601,101,445.50 = 601,101,445.50/x
  3. Step 3: Cross multiply
    400,024,251x = 601,101,445.50 × 601,101,445.50
  4. Step 4: Simplify right side
    400,024,251x = 361,322,947,782,189,440
  5. Step 5: Solve for x
    x = 361,322,947,782,189,440/400,024,251
  6. Step 6: Final answer
    x = 903,252,607.51

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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.