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Finding the Third Proportional to 218,056 and 328,164

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Solution

The third proportional to 218,056 and 328,164 is: 493,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,056 : 328,164 = 328,164 : x
  2. Step 2: Convert to fraction form
    218,056/328,164 = 328,164/x
  3. Step 3: Cross multiply
    218,056x = 328,164 × 328,164
  4. Step 4: Simplify right side
    218,056x = 107,691,610,896
  5. Step 5: Solve for x
    x = 107,691,610,896/218,056
  6. Step 6: Final answer
    x = 493,871.35

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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.