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Finding the Third Proportional to 208,475 and 455,179

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Solution

The third proportional to 208,475 and 455,179 is: 993,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,475 : 455,179 = 455,179 : x
  2. Step 2: Convert to fraction form
    208,475/455,179 = 455,179/x
  3. Step 3: Cross multiply
    208,475x = 455,179 × 455,179
  4. Step 4: Simplify right side
    208,475x = 207,187,922,041
  5. Step 5: Solve for x
    x = 207,187,922,041/208,475
  6. Step 6: Final answer
    x = 993,826.22

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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.