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Finding the Third Proportional to 318,135.94 and 658,416.38

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Solution

The third proportional to 318,135.94 and 658,416.38 is: 1,362,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,135.94 : 658,416.38 = 658,416.38 : x
  2. Step 2: Convert to fraction form
    318,135.94/658,416.38 = 658,416.38/x
  3. Step 3: Cross multiply
    318,135.94x = 658,416.38 × 658,416.38
  4. Step 4: Simplify right side
    318,135.94x = 433,512,122,868.14
  5. Step 5: Solve for x
    x = 433,512,122,868.14/318,135.94
  6. Step 6: Final answer
    x = 1,362,663.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.