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Finding the Third Proportional to 127,431 and 202,447

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Solution

The third proportional to 127,431 and 202,447 is: 321,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,431 : 202,447 = 202,447 : x
  2. Step 2: Convert to fraction form
    127,431/202,447 = 202,447/x
  3. Step 3: Cross multiply
    127,431x = 202,447 × 202,447
  4. Step 4: Simplify right side
    127,431x = 40,984,787,809
  5. Step 5: Solve for x
    x = 40,984,787,809/127,431
  6. Step 6: Final answer
    x = 321,623.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.