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Finding the Third Proportional to 161,912 and 245,132

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Solution

The third proportional to 161,912 and 245,132 is: 371,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,912 : 245,132 = 245,132 : x
  2. Step 2: Convert to fraction form
    161,912/245,132 = 245,132/x
  3. Step 3: Cross multiply
    161,912x = 245,132 × 245,132
  4. Step 4: Simplify right side
    161,912x = 60,089,697,424
  5. Step 5: Solve for x
    x = 60,089,697,424/161,912
  6. Step 6: Final answer
    x = 371,125.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.