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Finding the Third Proportional to 69,306 and 143,556

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Solution

The third proportional to 69,306 and 143,556 is: 297,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306 : 143,556 = 143,556 : x
  2. Step 2: Convert to fraction form
    69,306/143,556 = 143,556/x
  3. Step 3: Cross multiply
    69,306x = 143,556 × 143,556
  4. Step 4: Simplify right side
    69,306x = 20,608,325,136
  5. Step 5: Solve for x
    x = 20,608,325,136/69,306
  6. Step 6: Final answer
    x = 297,352.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.