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Finding the Third Proportional to 302,556 and 401,344.50

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Solution

The third proportional to 302,556 and 401,344.50 is: 532,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,556 : 401,344.50 = 401,344.50 : x
  2. Step 2: Convert to fraction form
    302,556/401,344.50 = 401,344.50/x
  3. Step 3: Cross multiply
    302,556x = 401,344.50 × 401,344.50
  4. Step 4: Simplify right side
    302,556x = 161,077,407,680.25
  5. Step 5: Solve for x
    x = 161,077,407,680.25/302,556
  6. Step 6: Final answer
    x = 532,388.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.