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Finding the Third Proportional to 145,314 and 218,115

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Solution

The third proportional to 145,314 and 218,115 is: 327,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,314 : 218,115 = 218,115 : x
  2. Step 2: Convert to fraction form
    145,314/218,115 = 218,115/x
  3. Step 3: Cross multiply
    145,314x = 218,115 × 218,115
  4. Step 4: Simplify right side
    145,314x = 47,574,153,225
  5. Step 5: Solve for x
    x = 47,574,153,225/145,314
  6. Step 6: Final answer
    x = 327,388.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.