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Finding the Third Proportional to 78,837.75 and 121,182.75

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Solution

The third proportional to 78,837.75 and 121,182.75 is: 186,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,837.75 : 121,182.75 = 121,182.75 : x
  2. Step 2: Convert to fraction form
    78,837.75/121,182.75 = 121,182.75/x
  3. Step 3: Cross multiply
    78,837.75x = 121,182.75 × 121,182.75
  4. Step 4: Simplify right side
    78,837.75x = 14,685,258,897.56
  5. Step 5: Solve for x
    x = 14,685,258,897.56/78,837.75
  6. Step 6: Final answer
    x = 186,271.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.