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Finding the Third Proportional to 209,695 and 448,777.50

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Solution

The third proportional to 209,695 and 448,777.50 is: 960,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,695 : 448,777.50 = 448,777.50 : x
  2. Step 2: Convert to fraction form
    209,695/448,777.50 = 448,777.50/x
  3. Step 3: Cross multiply
    209,695x = 448,777.50 × 448,777.50
  4. Step 4: Simplify right side
    209,695x = 201,401,244,506.25
  5. Step 5: Solve for x
    x = 201,401,244,506.25/209,695
  6. Step 6: Final answer
    x = 960,448.48

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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.