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Finding the Third Proportional to 78,550 and 118,969

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Solution

The third proportional to 78,550 and 118,969 is: 180,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550 : 118,969 = 118,969 : x
  2. Step 2: Convert to fraction form
    78,550/118,969 = 118,969/x
  3. Step 3: Cross multiply
    78,550x = 118,969 × 118,969
  4. Step 4: Simplify right side
    78,550x = 14,153,622,961
  5. Step 5: Solve for x
    x = 14,153,622,961/78,550
  6. Step 6: Final answer
    x = 180,186.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.