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Finding the Third Proportional to 127,971 and 200,730

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Solution

The third proportional to 127,971 and 200,730 is: 314,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,971 : 200,730 = 200,730 : x
  2. Step 2: Convert to fraction form
    127,971/200,730 = 200,730/x
  3. Step 3: Cross multiply
    127,971x = 200,730 × 200,730
  4. Step 4: Simplify right side
    127,971x = 40,292,532,900
  5. Step 5: Solve for x
    x = 40,292,532,900/127,971
  6. Step 6: Final answer
    x = 314,856.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.