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Finding the Third Proportional to 145,416 and 218,277

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Solution

The third proportional to 145,416 and 218,277 is: 327,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,416 : 218,277 = 218,277 : x
  2. Step 2: Convert to fraction form
    145,416/218,277 = 218,277/x
  3. Step 3: Cross multiply
    145,416x = 218,277 × 218,277
  4. Step 4: Simplify right side
    145,416x = 47,644,848,729
  5. Step 5: Solve for x
    x = 47,644,848,729/145,416
  6. Step 6: Final answer
    x = 327,645.16

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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.