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Finding the Third Proportional to 81,609,920 and 172,430,508

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Solution

The third proportional to 81,609,920 and 172,430,508 is: 364,321,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609,920 : 172,430,508 = 172,430,508 : x
  2. Step 2: Convert to fraction form
    81,609,920/172,430,508 = 172,430,508/x
  3. Step 3: Cross multiply
    81,609,920x = 172,430,508 × 172,430,508
  4. Step 4: Simplify right side
    81,609,920x = 29,732,280,089,138,064
  5. Step 5: Solve for x
    x = 29,732,280,089,138,064/81,609,920
  6. Step 6: Final answer
    x = 364,321,887.45

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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.