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Finding the Third Proportional to 163,320 and 256,644

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Solution

The third proportional to 163,320 and 256,644 is: 403,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,320 : 256,644 = 256,644 : x
  2. Step 2: Convert to fraction form
    163,320/256,644 = 256,644/x
  3. Step 3: Cross multiply
    163,320x = 256,644 × 256,644
  4. Step 4: Simplify right side
    163,320x = 65,866,142,736
  5. Step 5: Solve for x
    x = 65,866,142,736/163,320
  6. Step 6: Final answer
    x = 403,295.02

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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.