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Finding the Third Proportional to 30,394 and 65,647

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Solution

The third proportional to 30,394 and 65,647 is: 141,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394 : 65,647 = 65,647 : x
  2. Step 2: Convert to fraction form
    30,394/65,647 = 65,647/x
  3. Step 3: Cross multiply
    30,394x = 65,647 × 65,647
  4. Step 4: Simplify right side
    30,394x = 4,309,528,609
  5. Step 5: Solve for x
    x = 4,309,528,609/30,394
  6. Step 6: Final answer
    x = 141,788.79

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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.