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Finding the Third Proportional to 308,022 and 460,778

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Solution

The third proportional to 308,022 and 460,778 is: 689,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,022 : 460,778 = 460,778 : x
  2. Step 2: Convert to fraction form
    308,022/460,778 = 460,778/x
  3. Step 3: Cross multiply
    308,022x = 460,778 × 460,778
  4. Step 4: Simplify right side
    308,022x = 212,316,365,284
  5. Step 5: Solve for x
    x = 212,316,365,284/308,022
  6. Step 6: Final answer
    x = 689,289.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.