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Finding the Third Proportional to 243,216 and 351,936

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Solution

The third proportional to 243,216 and 351,936 is: 509,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,216 : 351,936 = 351,936 : x
  2. Step 2: Convert to fraction form
    243,216/351,936 = 351,936/x
  3. Step 3: Cross multiply
    243,216x = 351,936 × 351,936
  4. Step 4: Simplify right side
    243,216x = 123,858,948,096
  5. Step 5: Solve for x
    x = 123,858,948,096/243,216
  6. Step 6: Final answer
    x = 509,254.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.