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Finding the Third Proportional to 78,133.36 and 116,685.56

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Solution

The third proportional to 78,133.36 and 116,685.56 is: 174,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.36 : 116,685.56 = 116,685.56 : x
  2. Step 2: Convert to fraction form
    78,133.36/116,685.56 = 116,685.56/x
  3. Step 3: Cross multiply
    78,133.36x = 116,685.56 × 116,685.56
  4. Step 4: Simplify right side
    78,133.36x = 13,615,520,495.94
  5. Step 5: Solve for x
    x = 13,615,520,495.94/78,133.36
  6. Step 6: Final answer
    x = 174,260.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.