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Finding the Third Proportional to 184,410 and 252,376.50

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Solution

The third proportional to 184,410 and 252,376.50 is: 345,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,410 : 252,376.50 = 252,376.50 : x
  2. Step 2: Convert to fraction form
    184,410/252,376.50 = 252,376.50/x
  3. Step 3: Cross multiply
    184,410x = 252,376.50 × 252,376.50
  4. Step 4: Simplify right side
    184,410x = 63,693,897,752.25
  5. Step 5: Solve for x
    x = 63,693,897,752.25/184,410
  6. Step 6: Final answer
    x = 345,392.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.