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Finding the Third Proportional to 30,408.75 and 66,421.69

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Solution

The third proportional to 30,408.75 and 66,421.69 is: 145,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.75 : 66,421.69 = 66,421.69 : x
  2. Step 2: Convert to fraction form
    30,408.75/66,421.69 = 66,421.69/x
  3. Step 3: Cross multiply
    30,408.75x = 66,421.69 × 66,421.69
  4. Step 4: Simplify right side
    30,408.75x = 4,411,840,570.35
  5. Step 5: Solve for x
    x = 4,411,840,570.35/30,408.75
  6. Step 6: Final answer
    x = 145,084.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.