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Finding the Third Proportional to 78,374.50 and 118,291.50

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Solution

The third proportional to 78,374.50 and 118,291.50 is: 178,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.50 : 118,291.50 = 118,291.50 : x
  2. Step 2: Convert to fraction form
    78,374.50/118,291.50 = 118,291.50/x
  3. Step 3: Cross multiply
    78,374.50x = 118,291.50 × 118,291.50
  4. Step 4: Simplify right side
    78,374.50x = 13,992,878,972.25
  5. Step 5: Solve for x
    x = 13,992,878,972.25/78,374.50
  6. Step 6: Final answer
    x = 178,538.67

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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.