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Finding the Third Proportional to 263,428 and 397,414

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Solution

The third proportional to 263,428 and 397,414 is: 599,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,428 : 397,414 = 397,414 : x
  2. Step 2: Convert to fraction form
    263,428/397,414 = 397,414/x
  3. Step 3: Cross multiply
    263,428x = 397,414 × 397,414
  4. Step 4: Simplify right side
    263,428x = 157,937,887,396
  5. Step 5: Solve for x
    x = 157,937,887,396/263,428
  6. Step 6: Final answer
    x = 599,548.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.