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Finding the Third Proportional to 142,929 and 282,242

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Solution

The third proportional to 142,929 and 282,242 is: 557,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,929 : 282,242 = 282,242 : x
  2. Step 2: Convert to fraction form
    142,929/282,242 = 282,242/x
  3. Step 3: Cross multiply
    142,929x = 282,242 × 282,242
  4. Step 4: Simplify right side
    142,929x = 79,660,546,564
  5. Step 5: Solve for x
    x = 79,660,546,564/142,929
  6. Step 6: Final answer
    x = 557,343.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.