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Finding the Third Proportional to 257,112 and 398,056

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Solution

The third proportional to 257,112 and 398,056 is: 616,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,112 : 398,056 = 398,056 : x
  2. Step 2: Convert to fraction form
    257,112/398,056 = 398,056/x
  3. Step 3: Cross multiply
    257,112x = 398,056 × 398,056
  4. Step 4: Simplify right side
    257,112x = 158,448,579,136
  5. Step 5: Solve for x
    x = 158,448,579,136/257,112
  6. Step 6: Final answer
    x = 616,262.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.