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Finding the Third Proportional to 42,714 and 86,319

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Solution

The third proportional to 42,714 and 86,319 is: 174,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714 : 86,319 = 86,319 : x
  2. Step 2: Convert to fraction form
    42,714/86,319 = 86,319/x
  3. Step 3: Cross multiply
    42,714x = 86,319 × 86,319
  4. Step 4: Simplify right side
    42,714x = 7,450,969,761
  5. Step 5: Solve for x
    x = 7,450,969,761/42,714
  6. Step 6: Final answer
    x = 174,438.59

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.