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Finding the Third Proportional to 80,000 and 117,408

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Solution

The third proportional to 80,000 and 117,408 is: 172,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,000 : 117,408 = 117,408 : x
  2. Step 2: Convert to fraction form
    80,000/117,408 = 117,408/x
  3. Step 3: Cross multiply
    80,000x = 117,408 × 117,408
  4. Step 4: Simplify right side
    80,000x = 13,784,638,464
  5. Step 5: Solve for x
    x = 13,784,638,464/80,000
  6. Step 6: Final answer
    x = 172,307.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.