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Finding the Third Proportional to 8,420,200 and 17,720,648

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Solution

The third proportional to 8,420,200 and 17,720,648 is: 37,293,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420,200 : 17,720,648 = 17,720,648 : x
  2. Step 2: Convert to fraction form
    8,420,200/17,720,648 = 17,720,648/x
  3. Step 3: Cross multiply
    8,420,200x = 17,720,648 × 17,720,648
  4. Step 4: Simplify right side
    8,420,200x = 314,021,365,539,904
  5. Step 5: Solve for x
    x = 314,021,365,539,904/8,420,200
  6. Step 6: Final answer
    x = 37,293,813.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.