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Finding the Third Proportional to 201,213 and 272,292

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Solution

The third proportional to 201,213 and 272,292 is: 368,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213 : 272,292 = 272,292 : x
  2. Step 2: Convert to fraction form
    201,213/272,292 = 272,292/x
  3. Step 3: Cross multiply
    201,213x = 272,292 × 272,292
  4. Step 4: Simplify right side
    201,213x = 74,142,933,264
  5. Step 5: Solve for x
    x = 74,142,933,264/201,213
  6. Step 6: Final answer
    x = 368,479.84

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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.