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Finding the Third Proportional to 208,282 and 448,208

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Solution

The third proportional to 208,282 and 448,208 is: 964,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,282 : 448,208 = 448,208 : x
  2. Step 2: Convert to fraction form
    208,282/448,208 = 448,208/x
  3. Step 3: Cross multiply
    208,282x = 448,208 × 448,208
  4. Step 4: Simplify right side
    208,282x = 200,890,411,264
  5. Step 5: Solve for x
    x = 200,890,411,264/208,282
  6. Step 6: Final answer
    x = 964,511.63

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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.