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Finding the Third Proportional to 208,562 and 298,875

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Solution

The third proportional to 208,562 and 298,875 is: 428,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562 : 298,875 = 298,875 : x
  2. Step 2: Convert to fraction form
    208,562/298,875 = 298,875/x
  3. Step 3: Cross multiply
    208,562x = 298,875 × 298,875
  4. Step 4: Simplify right side
    208,562x = 89,326,265,625
  5. Step 5: Solve for x
    x = 89,326,265,625/208,562
  6. Step 6: Final answer
    x = 428,295.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.