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Finding the Third Proportional to 5,354,819 and 8,157,729

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Solution

The third proportional to 5,354,819 and 8,157,729 is: 12,427,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,819 : 8,157,729 = 8,157,729 : x
  2. Step 2: Convert to fraction form
    5,354,819/8,157,729 = 8,157,729/x
  3. Step 3: Cross multiply
    5,354,819x = 8,157,729 × 8,157,729
  4. Step 4: Simplify right side
    5,354,819x = 66,548,542,437,441
  5. Step 5: Solve for x
    x = 66,548,542,437,441/5,354,819
  6. Step 6: Final answer
    x = 12,427,785.60

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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.