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Finding the Third Proportional to 8,427,536 and 18,200,272

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Solution

The third proportional to 8,427,536 and 18,200,272 is: 39,305,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427,536 : 18,200,272 = 18,200,272 : x
  2. Step 2: Convert to fraction form
    8,427,536/18,200,272 = 18,200,272/x
  3. Step 3: Cross multiply
    8,427,536x = 18,200,272 × 18,200,272
  4. Step 4: Simplify right side
    8,427,536x = 331,249,900,873,984
  5. Step 5: Solve for x
    x = 331,249,900,873,984/8,427,536
  6. Step 6: Final answer
    x = 39,305,664.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.