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Finding the Third Proportional to 81,630,108 and 177,608,484

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Solution

The third proportional to 81,630,108 and 177,608,484 is: 386,435,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,630,108 : 177,608,484 = 177,608,484 : x
  2. Step 2: Convert to fraction form
    81,630,108/177,608,484 = 177,608,484/x
  3. Step 3: Cross multiply
    81,630,108x = 177,608,484 × 177,608,484
  4. Step 4: Simplify right side
    81,630,108x = 31,544,773,588,778,256
  5. Step 5: Solve for x
    x = 31,544,773,588,778,256/81,630,108
  6. Step 6: Final answer
    x = 386,435,524.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.