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Finding the Third Proportional to 30,675 and 65,778

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Solution

The third proportional to 30,675 and 65,778 is: 141,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675 : 65,778 = 65,778 : x
  2. Step 2: Convert to fraction form
    30,675/65,778 = 65,778/x
  3. Step 3: Cross multiply
    30,675x = 65,778 × 65,778
  4. Step 4: Simplify right side
    30,675x = 4,326,745,284
  5. Step 5: Solve for x
    x = 4,326,745,284/30,675
  6. Step 6: Final answer
    x = 141,051.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.