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Finding the Third Proportional to 208,516 and 455,270

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Solution

The third proportional to 208,516 and 455,270 is: 994,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,516 : 455,270 = 455,270 : x
  2. Step 2: Convert to fraction form
    208,516/455,270 = 455,270/x
  3. Step 3: Cross multiply
    208,516x = 455,270 × 455,270
  4. Step 4: Simplify right side
    208,516x = 207,270,772,900
  5. Step 5: Solve for x
    x = 207,270,772,900/208,516
  6. Step 6: Final answer
    x = 994,028.15

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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.