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Finding the Third Proportional to 121,030 and 186,647

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Solution

The third proportional to 121,030 and 186,647 is: 287,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,030 : 186,647 = 186,647 : x
  2. Step 2: Convert to fraction form
    121,030/186,647 = 186,647/x
  3. Step 3: Cross multiply
    121,030x = 186,647 × 186,647
  4. Step 4: Simplify right side
    121,030x = 34,837,102,609
  5. Step 5: Solve for x
    x = 34,837,102,609/121,030
  6. Step 6: Final answer
    x = 287,838.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.