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Finding the Third Proportional to 10,945 and 22,668.50

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Solution

The third proportional to 10,945 and 22,668.50 is: 46,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945 : 22,668.50 = 22,668.50 : x
  2. Step 2: Convert to fraction form
    10,945/22,668.50 = 22,668.50/x
  3. Step 3: Cross multiply
    10,945x = 22,668.50 × 22,668.50
  4. Step 4: Simplify right side
    10,945x = 513,860,892.25
  5. Step 5: Solve for x
    x = 513,860,892.25/10,945
  6. Step 6: Final answer
    x = 46,949.37

Related Problems

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1.5x scale

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.