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Finding the Third Proportional to 163,826 and 257,039

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Solution

The third proportional to 163,826 and 257,039 is: 403,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,826 : 257,039 = 257,039 : x
  2. Step 2: Convert to fraction form
    163,826/257,039 = 257,039/x
  3. Step 3: Cross multiply
    163,826x = 257,039 × 257,039
  4. Step 4: Simplify right side
    163,826x = 66,069,047,521
  5. Step 5: Solve for x
    x = 66,069,047,521/163,826
  6. Step 6: Final answer
    x = 403,287.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.