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Finding the Third Proportional to 78,109.31 and 118,258.31

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Solution

The third proportional to 78,109.31 and 118,258.31 is: 179,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,109.31 : 118,258.31 = 118,258.31 : x
  2. Step 2: Convert to fraction form
    78,109.31/118,258.31 = 118,258.31/x
  3. Step 3: Cross multiply
    78,109.31x = 118,258.31 × 118,258.31
  4. Step 4: Simplify right side
    78,109.31x = 13,985,028,475.35
  5. Step 5: Solve for x
    x = 13,985,028,475.35/78,109.31
  6. Step 6: Final answer
    x = 179,044.32

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