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Finding the Third Proportional to 53,489 and 83,158

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Solution

The third proportional to 53,489 and 83,158 is: 129,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489 : 83,158 = 83,158 : x
  2. Step 2: Convert to fraction form
    53,489/83,158 = 83,158/x
  3. Step 3: Cross multiply
    53,489x = 83,158 × 83,158
  4. Step 4: Simplify right side
    53,489x = 6,915,252,964
  5. Step 5: Solve for x
    x = 6,915,252,964/53,489
  6. Step 6: Final answer
    x = 129,283.65

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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.