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Finding the Third Proportional to 201,428 and 272,595

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Solution

The third proportional to 201,428 and 272,595 is: 368,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,428 : 272,595 = 272,595 : x
  2. Step 2: Convert to fraction form
    201,428/272,595 = 272,595/x
  3. Step 3: Cross multiply
    201,428x = 272,595 × 272,595
  4. Step 4: Simplify right side
    201,428x = 74,308,034,025
  5. Step 5: Solve for x
    x = 74,308,034,025/201,428
  6. Step 6: Final answer
    x = 368,906.18

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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.