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Finding the Third Proportional to 140,464 and 306,176

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Solution

The third proportional to 140,464 and 306,176 is: 667,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,464 : 306,176 = 306,176 : x
  2. Step 2: Convert to fraction form
    140,464/306,176 = 306,176/x
  3. Step 3: Cross multiply
    140,464x = 306,176 × 306,176
  4. Step 4: Simplify right side
    140,464x = 93,743,742,976
  5. Step 5: Solve for x
    x = 93,743,742,976/140,464
  6. Step 6: Final answer
    x = 667,386.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.