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Finding the Third Proportional to 53,420 and 82,714

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Solution

The third proportional to 53,420 and 82,714 is: 128,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420 : 82,714 = 82,714 : x
  2. Step 2: Convert to fraction form
    53,420/82,714 = 82,714/x
  3. Step 3: Cross multiply
    53,420x = 82,714 × 82,714
  4. Step 4: Simplify right side
    53,420x = 6,841,605,796
  5. Step 5: Solve for x
    x = 6,841,605,796/53,420
  6. Step 6: Final answer
    x = 128,071.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.