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Finding the Third Proportional to 78,273 and 118,904

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Solution

The third proportional to 78,273 and 118,904 is: 180,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273 : 118,904 = 118,904 : x
  2. Step 2: Convert to fraction form
    78,273/118,904 = 118,904/x
  3. Step 3: Cross multiply
    78,273x = 118,904 × 118,904
  4. Step 4: Simplify right side
    78,273x = 14,138,161,216
  5. Step 5: Solve for x
    x = 14,138,161,216/78,273
  6. Step 6: Final answer
    x = 180,626.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.