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Finding the Third Proportional to 127,700 and 202,110

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Solution

The third proportional to 127,700 and 202,110 is: 319,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,700 : 202,110 = 202,110 : x
  2. Step 2: Convert to fraction form
    127,700/202,110 = 202,110/x
  3. Step 3: Cross multiply
    127,700x = 202,110 × 202,110
  4. Step 4: Simplify right side
    127,700x = 40,848,452,100
  5. Step 5: Solve for x
    x = 40,848,452,100/127,700
  6. Step 6: Final answer
    x = 319,878.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.