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Finding the Third Proportional to 78,448.50 and 117,848.25

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Solution

The third proportional to 78,448.50 and 117,848.25 is: 177,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,448.50 : 117,848.25 = 117,848.25 : x
  2. Step 2: Convert to fraction form
    78,448.50/117,848.25 = 117,848.25/x
  3. Step 3: Cross multiply
    78,448.50x = 117,848.25 × 117,848.25
  4. Step 4: Simplify right side
    78,448.50x = 13,888,210,028.06
  5. Step 5: Solve for x
    x = 13,888,210,028.06/78,448.50
  6. Step 6: Final answer
    x = 177,036.02

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