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Finding the Third Proportional to 80,516 and 118,312

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Solution

The third proportional to 80,516 and 118,312 is: 173,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,516 : 118,312 = 118,312 : x
  2. Step 2: Convert to fraction form
    80,516/118,312 = 118,312/x
  3. Step 3: Cross multiply
    80,516x = 118,312 × 118,312
  4. Step 4: Simplify right side
    80,516x = 13,997,729,344
  5. Step 5: Solve for x
    x = 13,997,729,344/80,516
  6. Step 6: Final answer
    x = 173,850.28

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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.