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Finding the Third Proportional to 151,383 and 318,452

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Solution

The third proportional to 151,383 and 318,452 is: 669,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,383 : 318,452 = 318,452 : x
  2. Step 2: Convert to fraction form
    151,383/318,452 = 318,452/x
  3. Step 3: Cross multiply
    151,383x = 318,452 × 318,452
  4. Step 4: Simplify right side
    151,383x = 101,411,676,304
  5. Step 5: Solve for x
    x = 101,411,676,304/151,383
  6. Step 6: Final answer
    x = 669,901.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.