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Finding the Third Proportional to 3,076,344 and 4,775,751

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Solution

The third proportional to 3,076,344 and 4,775,751 is: 7,413,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076,344 : 4,775,751 = 4,775,751 : x
  2. Step 2: Convert to fraction form
    3,076,344/4,775,751 = 4,775,751/x
  3. Step 3: Cross multiply
    3,076,344x = 4,775,751 × 4,775,751
  4. Step 4: Simplify right side
    3,076,344x = 22,807,797,614,001
  5. Step 5: Solve for x
    x = 22,807,797,614,001/3,076,344
  6. Step 6: Final answer
    x = 7,413,929.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.