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Finding the Third Proportional to 13,022,419 and 19,157,218

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Solution

The third proportional to 13,022,419 and 19,157,218 is: 28,182,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022,419 : 19,157,218 = 19,157,218 : x
  2. Step 2: Convert to fraction form
    13,022,419/19,157,218 = 19,157,218/x
  3. Step 3: Cross multiply
    13,022,419x = 19,157,218 × 19,157,218
  4. Step 4: Simplify right side
    13,022,419x = 366,999,001,499,524
  5. Step 5: Solve for x
    x = 366,999,001,499,524/13,022,419
  6. Step 6: Final answer
    x = 28,182,091.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.