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Finding the Third Proportional to 208,552 and 455,347

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Solution

The third proportional to 208,552 and 455,347 is: 994,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,552 : 455,347 = 455,347 : x
  2. Step 2: Convert to fraction form
    208,552/455,347 = 455,347/x
  3. Step 3: Cross multiply
    208,552x = 455,347 × 455,347
  4. Step 4: Simplify right side
    208,552x = 207,340,890,409
  5. Step 5: Solve for x
    x = 207,340,890,409/208,552
  6. Step 6: Final answer
    x = 994,192.77

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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.