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Finding the Third Proportional to 68,592 and 146,692.50

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Solution

The third proportional to 68,592 and 146,692.50 is: 313,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,592 : 146,692.50 = 146,692.50 : x
  2. Step 2: Convert to fraction form
    68,592/146,692.50 = 146,692.50/x
  3. Step 3: Cross multiply
    68,592x = 146,692.50 × 146,692.50
  4. Step 4: Simplify right side
    68,592x = 21,518,689,556.25
  5. Step 5: Solve for x
    x = 21,518,689,556.25/68,592
  6. Step 6: Final answer
    x = 313,720.11

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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.