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Finding the Third Proportional to 142,972 and 313,970

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Solution

The third proportional to 142,972 and 313,970 is: 689,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,972 : 313,970 = 313,970 : x
  2. Step 2: Convert to fraction form
    142,972/313,970 = 313,970/x
  3. Step 3: Cross multiply
    142,972x = 313,970 × 313,970
  4. Step 4: Simplify right side
    142,972x = 98,577,160,900
  5. Step 5: Solve for x
    x = 98,577,160,900/142,972
  6. Step 6: Final answer
    x = 689,485.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.