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Finding the Third Proportional to 163,317 and 256,641.75

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Solution

The third proportional to 163,317 and 256,641.75 is: 403,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,317 : 256,641.75 = 256,641.75 : x
  2. Step 2: Convert to fraction form
    163,317/256,641.75 = 256,641.75/x
  3. Step 3: Cross multiply
    163,317x = 256,641.75 × 256,641.75
  4. Step 4: Simplify right side
    163,317x = 65,864,987,843.06
  5. Step 5: Solve for x
    x = 65,864,987,843.06/163,317
  6. Step 6: Final answer
    x = 403,295.36

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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.