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Finding the Third Proportional to 302,311 and 624,206

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Solution

The third proportional to 302,311 and 624,206 is: 1,288,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,311 : 624,206 = 624,206 : x
  2. Step 2: Convert to fraction form
    302,311/624,206 = 624,206/x
  3. Step 3: Cross multiply
    302,311x = 624,206 × 624,206
  4. Step 4: Simplify right side
    302,311x = 389,633,130,436
  5. Step 5: Solve for x
    x = 389,633,130,436/302,311
  6. Step 6: Final answer
    x = 1,288,848.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.