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Finding the Third Proportional to 302,704 and 642,306

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Solution

The third proportional to 302,704 and 642,306 is: 1,362,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,704 : 642,306 = 642,306 : x
  2. Step 2: Convert to fraction form
    302,704/642,306 = 642,306/x
  3. Step 3: Cross multiply
    302,704x = 642,306 × 642,306
  4. Step 4: Simplify right side
    302,704x = 412,556,997,636
  5. Step 5: Solve for x
    x = 412,556,997,636/302,704
  6. Step 6: Final answer
    x = 1,362,905.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.