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Finding the Third Proportional to 208,084 and 455,816

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Solution

The third proportional to 208,084 and 455,816 is: 998,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,084 : 455,816 = 455,816 : x
  2. Step 2: Convert to fraction form
    208,084/455,816 = 455,816/x
  3. Step 3: Cross multiply
    208,084x = 455,816 × 455,816
  4. Step 4: Simplify right side
    208,084x = 207,768,225,856
  5. Step 5: Solve for x
    x = 207,768,225,856/208,084
  6. Step 6: Final answer
    x = 998,482.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.