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Finding the Third Proportional to 179,020 and 391,255

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Solution

The third proportional to 179,020 and 391,255 is: 855,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,020 : 391,255 = 391,255 : x
  2. Step 2: Convert to fraction form
    179,020/391,255 = 391,255/x
  3. Step 3: Cross multiply
    179,020x = 391,255 × 391,255
  4. Step 4: Simplify right side
    179,020x = 153,080,475,025
  5. Step 5: Solve for x
    x = 153,080,475,025/179,020
  6. Step 6: Final answer
    x = 855,102.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.