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Finding the Third Proportional to 168,090 and 358,642

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Solution

The third proportional to 168,090 and 358,642 is: 765,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,090 : 358,642 = 358,642 : x
  2. Step 2: Convert to fraction form
    168,090/358,642 = 358,642/x
  3. Step 3: Cross multiply
    168,090x = 358,642 × 358,642
  4. Step 4: Simplify right side
    168,090x = 128,624,084,164
  5. Step 5: Solve for x
    x = 128,624,084,164/168,090
  6. Step 6: Final answer
    x = 765,209.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.