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Finding the Third Proportional to 201,215 and 272,298

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Solution

The third proportional to 201,215 and 272,298 is: 368,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,215 : 272,298 = 272,298 : x
  2. Step 2: Convert to fraction form
    201,215/272,298 = 272,298/x
  3. Step 3: Cross multiply
    201,215x = 272,298 × 272,298
  4. Step 4: Simplify right side
    201,215x = 74,146,200,804
  5. Step 5: Solve for x
    x = 74,146,200,804/201,215
  6. Step 6: Final answer
    x = 368,492.41

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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.