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Finding the Third Proportional to 159,218 and 343,343

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Solution

The third proportional to 159,218 and 343,343 is: 740,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,218 : 343,343 = 343,343 : x
  2. Step 2: Convert to fraction form
    159,218/343,343 = 343,343/x
  3. Step 3: Cross multiply
    159,218x = 343,343 × 343,343
  4. Step 4: Simplify right side
    159,218x = 117,884,415,649
  5. Step 5: Solve for x
    x = 117,884,415,649/159,218
  6. Step 6: Final answer
    x = 740,396.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.