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Finding the Third Proportional to 55,489 and 86,953

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Solution

The third proportional to 55,489 and 86,953 is: 136,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,489 : 86,953 = 86,953 : x
  2. Step 2: Convert to fraction form
    55,489/86,953 = 86,953/x
  3. Step 3: Cross multiply
    55,489x = 86,953 × 86,953
  4. Step 4: Simplify right side
    55,489x = 7,560,824,209
  5. Step 5: Solve for x
    x = 7,560,824,209/55,489
  6. Step 6: Final answer
    x = 136,258.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.