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Finding the Third Proportional to 432,174 and 654,223

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Solution

The third proportional to 432,174 and 654,223 is: 990,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,174 : 654,223 = 654,223 : x
  2. Step 2: Convert to fraction form
    432,174/654,223 = 654,223/x
  3. Step 3: Cross multiply
    432,174x = 654,223 × 654,223
  4. Step 4: Simplify right side
    432,174x = 428,007,733,729
  5. Step 5: Solve for x
    x = 428,007,733,729/432,174
  6. Step 6: Final answer
    x = 990,359.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.