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Finding the Third Proportional to 30,098 and 65,786

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Solution

The third proportional to 30,098 and 65,786 is: 143,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098 : 65,786 = 65,786 : x
  2. Step 2: Convert to fraction form
    30,098/65,786 = 65,786/x
  3. Step 3: Cross multiply
    30,098x = 65,786 × 65,786
  4. Step 4: Simplify right side
    30,098x = 4,327,797,796
  5. Step 5: Solve for x
    x = 4,327,797,796/30,098
  6. Step 6: Final answer
    x = 143,790.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.