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Finding the Third Proportional to 7,851,240 and 11,816,172

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Solution

The third proportional to 7,851,240 and 11,816,172 is: 17,783,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851,240 : 11,816,172 = 11,816,172 : x
  2. Step 2: Convert to fraction form
    7,851,240/11,816,172 = 11,816,172/x
  3. Step 3: Cross multiply
    7,851,240x = 11,816,172 × 11,816,172
  4. Step 4: Simplify right side
    7,851,240x = 139,621,920,733,584
  5. Step 5: Solve for x
    x = 139,621,920,733,584/7,851,240
  6. Step 6: Final answer
    x = 17,783,422.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.