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Finding the Third Proportional to 85,030 and 122,918

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Solution

The third proportional to 85,030 and 122,918 is: 177,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,030 : 122,918 = 122,918 : x
  2. Step 2: Convert to fraction form
    85,030/122,918 = 122,918/x
  3. Step 3: Cross multiply
    85,030x = 122,918 × 122,918
  4. Step 4: Simplify right side
    85,030x = 15,108,834,724
  5. Step 5: Solve for x
    x = 15,108,834,724/85,030
  6. Step 6: Final answer
    x = 177,688.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.