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Finding the Third Proportional to 302,149 and 408,905.50

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Solution

The third proportional to 302,149 and 408,905.50 is: 553,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,149 : 408,905.50 = 408,905.50 : x
  2. Step 2: Convert to fraction form
    302,149/408,905.50 = 408,905.50/x
  3. Step 3: Cross multiply
    302,149x = 408,905.50 × 408,905.50
  4. Step 4: Simplify right side
    302,149x = 167,203,707,930.25
  5. Step 5: Solve for x
    x = 167,203,707,930.25/302,149
  6. Step 6: Final answer
    x = 553,381.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.