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Finding the Third Proportional to 103,502 and 160,325

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Solution

The third proportional to 103,502 and 160,325 is: 248,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,502 : 160,325 = 160,325 : x
  2. Step 2: Convert to fraction form
    103,502/160,325 = 160,325/x
  3. Step 3: Cross multiply
    103,502x = 160,325 × 160,325
  4. Step 4: Simplify right side
    103,502x = 25,704,105,625
  5. Step 5: Solve for x
    x = 25,704,105,625/103,502
  6. Step 6: Final answer
    x = 248,344.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.