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Finding the Third Proportional to 8,946,940 and 13,769,178

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Solution

The third proportional to 8,946,940 and 13,769,178 is: 21,190,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946,940 : 13,769,178 = 13,769,178 : x
  2. Step 2: Convert to fraction form
    8,946,940/13,769,178 = 13,769,178/x
  3. Step 3: Cross multiply
    8,946,940x = 13,769,178 × 13,769,178
  4. Step 4: Simplify right side
    8,946,940x = 189,590,262,795,684
  5. Step 5: Solve for x
    x = 189,590,262,795,684/8,946,940
  6. Step 6: Final answer
    x = 21,190,514.61

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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.