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Finding the Third Proportional to 201,408 and 428,304

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Solution

The third proportional to 201,408 and 428,304 is: 910,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408 : 428,304 = 428,304 : x
  2. Step 2: Convert to fraction form
    201,408/428,304 = 428,304/x
  3. Step 3: Cross multiply
    201,408x = 428,304 × 428,304
  4. Step 4: Simplify right side
    201,408x = 183,444,316,416
  5. Step 5: Solve for x
    x = 183,444,316,416/201,408
  6. Step 6: Final answer
    x = 910,809.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.