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Finding the Third Proportional to 81,609,968 and 172,430,616

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Solution

The third proportional to 81,609,968 and 172,430,616 is: 364,322,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609,968 : 172,430,616 = 172,430,616 : x
  2. Step 2: Convert to fraction form
    81,609,968/172,430,616 = 172,430,616/x
  3. Step 3: Cross multiply
    81,609,968x = 172,430,616 × 172,430,616
  4. Step 4: Simplify right side
    81,609,968x = 29,732,317,334,139,456
  5. Step 5: Solve for x
    x = 29,732,317,334,139,456/81,609,968
  6. Step 6: Final answer
    x = 364,322,129.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.