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Finding the Third Proportional to 208,142 and 447,880

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Solution

The third proportional to 208,142 and 447,880 is: 963,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142 : 447,880 = 447,880 : x
  2. Step 2: Convert to fraction form
    208,142/447,880 = 447,880/x
  3. Step 3: Cross multiply
    208,142x = 447,880 × 447,880
  4. Step 4: Simplify right side
    208,142x = 200,596,494,400
  5. Step 5: Solve for x
    x = 200,596,494,400/208,142
  6. Step 6: Final answer
    x = 963,748.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.