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Finding the Third Proportional to 3,784,038 and 8,272,284

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Solution

The third proportional to 3,784,038 and 8,272,284 is: 18,084,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,038 : 8,272,284 = 8,272,284 : x
  2. Step 2: Convert to fraction form
    3,784,038/8,272,284 = 8,272,284/x
  3. Step 3: Cross multiply
    3,784,038x = 8,272,284 × 8,272,284
  4. Step 4: Simplify right side
    3,784,038x = 68,430,682,576,656
  5. Step 5: Solve for x
    x = 68,430,682,576,656/3,784,038
  6. Step 6: Final answer
    x = 18,084,036.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.