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Finding the Third Proportional to 253,557 and 394,875

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Solution

The third proportional to 253,557 and 394,875 is: 614,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,557 : 394,875 = 394,875 : x
  2. Step 2: Convert to fraction form
    253,557/394,875 = 394,875/x
  3. Step 3: Cross multiply
    253,557x = 394,875 × 394,875
  4. Step 4: Simplify right side
    253,557x = 155,926,265,625
  5. Step 5: Solve for x
    x = 155,926,265,625/253,557
  6. Step 6: Final answer
    x = 614,955.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.