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Finding the Third Proportional to 201,465 and 272,611

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Solution

The third proportional to 201,465 and 272,611 is: 368,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465 : 272,611 = 272,611 : x
  2. Step 2: Convert to fraction form
    201,465/272,611 = 272,611/x
  3. Step 3: Cross multiply
    201,465x = 272,611 × 272,611
  4. Step 4: Simplify right side
    201,465x = 74,316,757,321
  5. Step 5: Solve for x
    x = 74,316,757,321/201,465
  6. Step 6: Final answer
    x = 368,881.73

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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.