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Finding the Third Proportional to 7,678,420 and 11,599,288

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Solution

The third proportional to 7,678,420 and 11,599,288 is: 17,522,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,420 : 11,599,288 = 11,599,288 : x
  2. Step 2: Convert to fraction form
    7,678,420/11,599,288 = 11,599,288/x
  3. Step 3: Cross multiply
    7,678,420x = 11,599,288 × 11,599,288
  4. Step 4: Simplify right side
    7,678,420x = 134,543,482,106,944
  5. Step 5: Solve for x
    x = 134,543,482,106,944/7,678,420
  6. Step 6: Final answer
    x = 17,522,287.41

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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.