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Finding the Third Proportional to 163,216 and 356,384

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Solution

The third proportional to 163,216 and 356,384 is: 778,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,216 : 356,384 = 356,384 : x
  2. Step 2: Convert to fraction form
    163,216/356,384 = 356,384/x
  3. Step 3: Cross multiply
    163,216x = 356,384 × 356,384
  4. Step 4: Simplify right side
    163,216x = 127,009,555,456
  5. Step 5: Solve for x
    x = 127,009,555,456/163,216
  6. Step 6: Final answer
    x = 778,168.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.