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Finding the Third Proportional to 57,642 and 86,097

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Solution

The third proportional to 57,642 and 86,097 is: 128,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642 : 86,097 = 86,097 : x
  2. Step 2: Convert to fraction form
    57,642/86,097 = 86,097/x
  3. Step 3: Cross multiply
    57,642x = 86,097 × 86,097
  4. Step 4: Simplify right side
    57,642x = 7,412,693,409
  5. Step 5: Solve for x
    x = 7,412,693,409/57,642
  6. Step 6: Final answer
    x = 128,598.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.