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Finding the Third Proportional to 302,308 and 624,200

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Solution

The third proportional to 302,308 and 624,200 is: 1,288,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,308 : 624,200 = 624,200 : x
  2. Step 2: Convert to fraction form
    302,308/624,200 = 624,200/x
  3. Step 3: Cross multiply
    302,308x = 624,200 × 624,200
  4. Step 4: Simplify right side
    302,308x = 389,625,640,000
  5. Step 5: Solve for x
    x = 389,625,640,000/302,308
  6. Step 6: Final answer
    x = 1,288,836.68

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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.