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Finding the Third Proportional to 68,205 and 103,361

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Solution

The third proportional to 68,205 and 103,361 is: 156,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,205 : 103,361 = 103,361 : x
  2. Step 2: Convert to fraction form
    68,205/103,361 = 103,361/x
  3. Step 3: Cross multiply
    68,205x = 103,361 × 103,361
  4. Step 4: Simplify right side
    68,205x = 10,683,496,321
  5. Step 5: Solve for x
    x = 10,683,496,321/68,205
  6. Step 6: Final answer
    x = 156,638.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.