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Finding the Third Proportional to 56,836 and 86,043

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Solution

The third proportional to 56,836 and 86,043 is: 130,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,836 : 86,043 = 86,043 : x
  2. Step 2: Convert to fraction form
    56,836/86,043 = 86,043/x
  3. Step 3: Cross multiply
    56,836x = 86,043 × 86,043
  4. Step 4: Simplify right side
    56,836x = 7,403,397,849
  5. Step 5: Solve for x
    x = 7,403,397,849/56,836
  6. Step 6: Final answer
    x = 130,258.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.