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Finding the Third Proportional to 217,460 and 325,178

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Solution

The third proportional to 217,460 and 325,178 is: 486,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,460 : 325,178 = 325,178 : x
  2. Step 2: Convert to fraction form
    217,460/325,178 = 325,178/x
  3. Step 3: Cross multiply
    217,460x = 325,178 × 325,178
  4. Step 4: Simplify right side
    217,460x = 105,740,731,684
  5. Step 5: Solve for x
    x = 105,740,731,684/217,460
  6. Step 6: Final answer
    x = 486,253.71

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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.