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Finding the Third Proportional to 142,722 and 313,693

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Solution

The third proportional to 142,722 and 313,693 is: 689,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722 : 313,693 = 313,693 : x
  2. Step 2: Convert to fraction form
    142,722/313,693 = 313,693/x
  3. Step 3: Cross multiply
    142,722x = 313,693 × 313,693
  4. Step 4: Simplify right side
    142,722x = 98,403,298,249
  5. Step 5: Solve for x
    x = 98,403,298,249/142,722
  6. Step 6: Final answer
    x = 689,475.33

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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.