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Finding the Third Proportional to 343,430 and 504,857

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Solution

The third proportional to 343,430 and 504,857 is: 742,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,430 : 504,857 = 504,857 : x
  2. Step 2: Convert to fraction form
    343,430/504,857 = 504,857/x
  3. Step 3: Cross multiply
    343,430x = 504,857 × 504,857
  4. Step 4: Simplify right side
    343,430x = 254,880,590,449
  5. Step 5: Solve for x
    x = 254,880,590,449/343,430
  6. Step 6: Final answer
    x = 742,161.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.