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Finding the Third Proportional to 71,030 and 153,131

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Solution

The third proportional to 71,030 and 153,131 is: 330,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,030 : 153,131 = 153,131 : x
  2. Step 2: Convert to fraction form
    71,030/153,131 = 153,131/x
  3. Step 3: Cross multiply
    71,030x = 153,131 × 153,131
  4. Step 4: Simplify right side
    71,030x = 23,449,103,161
  5. Step 5: Solve for x
    x = 23,449,103,161/71,030
  6. Step 6: Final answer
    x = 330,129.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.