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Finding the Third Proportional to 12,894,146 and 19,290,159

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Solution

The third proportional to 12,894,146 and 19,290,159 is: 28,858,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894,146 : 19,290,159 = 19,290,159 : x
  2. Step 2: Convert to fraction form
    12,894,146/19,290,159 = 19,290,159/x
  3. Step 3: Cross multiply
    12,894,146x = 19,290,159 × 19,290,159
  4. Step 4: Simplify right side
    12,894,146x = 372,110,234,245,281
  5. Step 5: Solve for x
    x = 372,110,234,245,281/12,894,146
  6. Step 6: Final answer
    x = 28,858,850.69

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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.