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Finding the Third Proportional to 127,639.55 and 164,085.75

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Solution

The third proportional to 127,639.55 and 164,085.75 is: 210,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,639.55 : 164,085.75 = 164,085.75 : x
  2. Step 2: Convert to fraction form
    127,639.55/164,085.75 = 164,085.75/x
  3. Step 3: Cross multiply
    127,639.55x = 164,085.75 × 164,085.75
  4. Step 4: Simplify right side
    127,639.55x = 26,924,133,353.06
  5. Step 5: Solve for x
    x = 26,924,133,353.06/127,639.55
  6. Step 6: Final answer
    x = 210,938.80

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.