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Finding the Third Proportional to 163,970 and 353,770

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Solution

The third proportional to 163,970 and 353,770 is: 763,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,970 : 353,770 = 353,770 : x
  2. Step 2: Convert to fraction form
    163,970/353,770 = 353,770/x
  3. Step 3: Cross multiply
    163,970x = 353,770 × 353,770
  4. Step 4: Simplify right side
    163,970x = 125,153,212,900
  5. Step 5: Solve for x
    x = 125,153,212,900/163,970
  6. Step 6: Final answer
    x = 763,268.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.