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Finding the Third Proportional to 78,174 and 168,511.50

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Solution

The third proportional to 78,174 and 168,511.50 is: 363,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174 : 168,511.50 = 168,511.50 : x
  2. Step 2: Convert to fraction form
    78,174/168,511.50 = 168,511.50/x
  3. Step 3: Cross multiply
    78,174x = 168,511.50 × 168,511.50
  4. Step 4: Simplify right side
    78,174x = 28,396,125,632.25
  5. Step 5: Solve for x
    x = 28,396,125,632.25/78,174
  6. Step 6: Final answer
    x = 363,242.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.