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Finding the Third Proportional to 8,698,116 and 18,515,984

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Solution

The third proportional to 8,698,116 and 18,515,984 is: 39,415,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698,116 : 18,515,984 = 18,515,984 : x
  2. Step 2: Convert to fraction form
    8,698,116/18,515,984 = 18,515,984/x
  3. Step 3: Cross multiply
    8,698,116x = 18,515,984 × 18,515,984
  4. Step 4: Simplify right side
    8,698,116x = 342,841,663,488,256
  5. Step 5: Solve for x
    x = 342,841,663,488,256/8,698,116
  6. Step 6: Final answer
    x = 39,415,623.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.