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Finding the Third Proportional to 343,378 and 504,790

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Solution

The third proportional to 343,378 and 504,790 is: 742,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,378 : 504,790 = 504,790 : x
  2. Step 2: Convert to fraction form
    343,378/504,790 = 504,790/x
  3. Step 3: Cross multiply
    343,378x = 504,790 × 504,790
  4. Step 4: Simplify right side
    343,378x = 254,812,944,100
  5. Step 5: Solve for x
    x = 254,812,944,100/343,378
  6. Step 6: Final answer
    x = 742,077.08

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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.