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Finding the Third Proportional to 7,857,186 and 12,122,208

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Solution

The third proportional to 7,857,186 and 12,122,208 is: 18,702,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,186 : 12,122,208 = 12,122,208 : x
  2. Step 2: Convert to fraction form
    7,857,186/12,122,208 = 12,122,208/x
  3. Step 3: Cross multiply
    7,857,186x = 12,122,208 × 12,122,208
  4. Step 4: Simplify right side
    7,857,186x = 146,947,926,795,264
  5. Step 5: Solve for x
    x = 146,947,926,795,264/7,857,186
  6. Step 6: Final answer
    x = 18,702,360.72

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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.