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Finding the Third Proportional to 142,772 and 310,976

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Solution

The third proportional to 142,772 and 310,976 is: 677,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,772 : 310,976 = 310,976 : x
  2. Step 2: Convert to fraction form
    142,772/310,976 = 310,976/x
  3. Step 3: Cross multiply
    142,772x = 310,976 × 310,976
  4. Step 4: Simplify right side
    142,772x = 96,706,072,576
  5. Step 5: Solve for x
    x = 96,706,072,576/142,772
  6. Step 6: Final answer
    x = 677,346.21

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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.