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Finding the Third Proportional to 168,900 and 358,530

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Solution

The third proportional to 168,900 and 358,530 is: 761,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,900 : 358,530 = 358,530 : x
  2. Step 2: Convert to fraction form
    168,900/358,530 = 358,530/x
  3. Step 3: Cross multiply
    168,900x = 358,530 × 358,530
  4. Step 4: Simplify right side
    168,900x = 128,543,760,900
  5. Step 5: Solve for x
    x = 128,543,760,900/168,900
  6. Step 6: Final answer
    x = 761,064.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.