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Finding the Third Proportional to 78,703.50 and 168,634.50

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Solution

The third proportional to 78,703.50 and 168,634.50 is: 361,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,703.50 : 168,634.50 = 168,634.50 : x
  2. Step 2: Convert to fraction form
    78,703.50/168,634.50 = 168,634.50/x
  3. Step 3: Cross multiply
    78,703.50x = 168,634.50 × 168,634.50
  4. Step 4: Simplify right side
    78,703.50x = 28,437,594,590.25
  5. Step 5: Solve for x
    x = 28,437,594,590.25/78,703.50
  6. Step 6: Final answer
    x = 361,325.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.