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Finding the Third Proportional to 201,222 and 272,308

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Solution

The third proportional to 201,222 and 272,308 is: 368,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222 : 272,308 = 272,308 : x
  2. Step 2: Convert to fraction form
    201,222/272,308 = 272,308/x
  3. Step 3: Cross multiply
    201,222x = 272,308 × 272,308
  4. Step 4: Simplify right side
    201,222x = 74,151,646,864
  5. Step 5: Solve for x
    x = 74,151,646,864/201,222
  6. Step 6: Final answer
    x = 368,506.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.