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Finding the Third Proportional to 310,632 and 490,976

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Solution

The third proportional to 310,632 and 490,976 is: 776,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,632 : 490,976 = 490,976 : x
  2. Step 2: Convert to fraction form
    310,632/490,976 = 490,976/x
  3. Step 3: Cross multiply
    310,632x = 490,976 × 490,976
  4. Step 4: Simplify right side
    310,632x = 241,057,432,576
  5. Step 5: Solve for x
    x = 241,057,432,576/310,632
  6. Step 6: Final answer
    x = 776,022.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.