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Finding the Third Proportional to 78,798 and 118,278

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Solution

The third proportional to 78,798 and 118,278 is: 177,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,798 : 118,278 = 118,278 : x
  2. Step 2: Convert to fraction form
    78,798/118,278 = 118,278/x
  3. Step 3: Cross multiply
    78,798x = 118,278 × 118,278
  4. Step 4: Simplify right side
    78,798x = 13,989,685,284
  5. Step 5: Solve for x
    x = 13,989,685,284/78,798
  6. Step 6: Final answer
    x = 177,538.58

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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.