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Finding the Third Proportional to 142,229 and 306,873

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Solution

The third proportional to 142,229 and 306,873 is: 662,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,229 : 306,873 = 306,873 : x
  2. Step 2: Convert to fraction form
    142,229/306,873 = 306,873/x
  3. Step 3: Cross multiply
    142,229x = 306,873 × 306,873
  4. Step 4: Simplify right side
    142,229x = 94,171,038,129
  5. Step 5: Solve for x
    x = 94,171,038,129/142,229
  6. Step 6: Final answer
    x = 662,108.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.