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Finding the Third Proportional to 208,478 and 455,188

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Solution

The third proportional to 208,478 and 455,188 is: 993,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,478 : 455,188 = 455,188 : x
  2. Step 2: Convert to fraction form
    208,478/455,188 = 455,188/x
  3. Step 3: Cross multiply
    208,478x = 455,188 × 455,188
  4. Step 4: Simplify right side
    208,478x = 207,196,115,344
  5. Step 5: Solve for x
    x = 207,196,115,344/208,478
  6. Step 6: Final answer
    x = 993,851.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.