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Finding the Third Proportional to 7,836,540 and 12,104,178

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Solution

The third proportional to 7,836,540 and 12,104,178 is: 18,695,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,540 : 12,104,178 = 12,104,178 : x
  2. Step 2: Convert to fraction form
    7,836,540/12,104,178 = 12,104,178/x
  3. Step 3: Cross multiply
    7,836,540x = 12,104,178 × 12,104,178
  4. Step 4: Simplify right side
    7,836,540x = 146,511,125,055,684
  5. Step 5: Solve for x
    x = 146,511,125,055,684/7,836,540
  6. Step 6: Final answer
    x = 18,695,894.50

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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.