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Finding the Third Proportional to 163,647 and 356,862

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Solution

The third proportional to 163,647 and 356,862 is: 778,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,647 : 356,862 = 356,862 : x
  2. Step 2: Convert to fraction form
    163,647/356,862 = 356,862/x
  3. Step 3: Cross multiply
    163,647x = 356,862 × 356,862
  4. Step 4: Simplify right side
    163,647x = 127,350,487,044
  5. Step 5: Solve for x
    x = 127,350,487,044/163,647
  6. Step 6: Final answer
    x = 778,202.39

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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.