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Finding the Third Proportional to 178,408.50 and 260,915

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Solution

The third proportional to 178,408.50 and 260,915 is: 381,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,408.50 : 260,915 = 260,915 : x
  2. Step 2: Convert to fraction form
    178,408.50/260,915 = 260,915/x
  3. Step 3: Cross multiply
    178,408.50x = 260,915 × 260,915
  4. Step 4: Simplify right side
    178,408.50x = 68,076,637,225
  5. Step 5: Solve for x
    x = 68,076,637,225/178,408.50
  6. Step 6: Final answer
    x = 381,577.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.