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Finding the Third Proportional to 81,609,970 and 172,430,608

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Solution

The third proportional to 81,609,970 and 172,430,608 is: 364,322,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609,970 : 172,430,608 = 172,430,608 : x
  2. Step 2: Convert to fraction form
    81,609,970/172,430,608 = 172,430,608/x
  3. Step 3: Cross multiply
    81,609,970x = 172,430,608 × 172,430,608
  4. Step 4: Simplify right side
    81,609,970x = 29,732,314,575,249,664
  5. Step 5: Solve for x
    x = 29,732,314,575,249,664/81,609,970
  6. Step 6: Final answer
    x = 364,322,086.81

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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.