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Finding the Third Proportional to 78,818 and 118,246

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Solution

The third proportional to 78,818 and 118,246 is: 177,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,818 : 118,246 = 118,246 : x
  2. Step 2: Convert to fraction form
    78,818/118,246 = 118,246/x
  3. Step 3: Cross multiply
    78,818x = 118,246 × 118,246
  4. Step 4: Simplify right side
    78,818x = 13,982,116,516
  5. Step 5: Solve for x
    x = 13,982,116,516/78,818
  6. Step 6: Final answer
    x = 177,397.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.