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Finding the Third Proportional to 165,420 and 201,708

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Solution

The third proportional to 165,420 and 201,708 is: 245,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,420 : 201,708 = 201,708 : x
  2. Step 2: Convert to fraction form
    165,420/201,708 = 201,708/x
  3. Step 3: Cross multiply
    165,420x = 201,708 × 201,708
  4. Step 4: Simplify right side
    165,420x = 40,686,117,264
  5. Step 5: Solve for x
    x = 40,686,117,264/165,420
  6. Step 6: Final answer
    x = 245,956.46

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.