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Finding the Third Proportional to 163,005 and 353,142

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Solution

The third proportional to 163,005 and 353,142 is: 765,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,005 : 353,142 = 353,142 : x
  2. Step 2: Convert to fraction form
    163,005/353,142 = 353,142/x
  3. Step 3: Cross multiply
    163,005x = 353,142 × 353,142
  4. Step 4: Simplify right side
    163,005x = 124,709,272,164
  5. Step 5: Solve for x
    x = 124,709,272,164/163,005
  6. Step 6: Final answer
    x = 765,064.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.