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Finding the Third Proportional to 7,873,154 and 12,146,115

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Solution

The third proportional to 7,873,154 and 12,146,115 is: 18,738,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873,154 : 12,146,115 = 12,146,115 : x
  2. Step 2: Convert to fraction form
    7,873,154/12,146,115 = 12,146,115/x
  3. Step 3: Cross multiply
    7,873,154x = 12,146,115 × 12,146,115
  4. Step 4: Simplify right side
    7,873,154x = 147,528,109,593,225
  5. Step 5: Solve for x
    x = 147,528,109,593,225/7,873,154
  6. Step 6: Final answer
    x = 18,738,120.66

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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.