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Finding the Third Proportional to 163,620 and 356,802

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Solution

The third proportional to 163,620 and 356,802 is: 778,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,620 : 356,802 = 356,802 : x
  2. Step 2: Convert to fraction form
    163,620/356,802 = 356,802/x
  3. Step 3: Cross multiply
    163,620x = 356,802 × 356,802
  4. Step 4: Simplify right side
    163,620x = 127,307,667,204
  5. Step 5: Solve for x
    x = 127,307,667,204/163,620
  6. Step 6: Final answer
    x = 778,069.11

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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.