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Finding the Third Proportional to 12,451,590 and 19,229,769

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Solution

The third proportional to 12,451,590 and 19,229,769 is: 29,697,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451,590 : 19,229,769 = 19,229,769 : x
  2. Step 2: Convert to fraction form
    12,451,590/19,229,769 = 19,229,769/x
  3. Step 3: Cross multiply
    12,451,590x = 19,229,769 × 19,229,769
  4. Step 4: Simplify right side
    12,451,590x = 369,784,015,793,361
  5. Step 5: Solve for x
    x = 369,784,015,793,361/12,451,590
  6. Step 6: Final answer
    x = 29,697,734.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.