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Finding the Third Proportional to 4,237,072 and 5,440,288

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Solution

The third proportional to 4,237,072 and 5,440,288 is: 6,985,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,072 : 5,440,288 = 5,440,288 : x
  2. Step 2: Convert to fraction form
    4,237,072/5,440,288 = 5,440,288/x
  3. Step 3: Cross multiply
    4,237,072x = 5,440,288 × 5,440,288
  4. Step 4: Simplify right side
    4,237,072x = 29,596,733,522,944
  5. Step 5: Solve for x
    x = 29,596,733,522,944/4,237,072
  6. Step 6: Final answer
    x = 6,985,185.41

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.