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Finding the Third Proportional to 138,304 and 312,512

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Solution

The third proportional to 138,304 and 312,512 is: 706,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304 : 312,512 = 312,512 : x
  2. Step 2: Convert to fraction form
    138,304/312,512 = 312,512/x
  3. Step 3: Cross multiply
    138,304x = 312,512 × 312,512
  4. Step 4: Simplify right side
    138,304x = 97,663,750,144
  5. Step 5: Solve for x
    x = 97,663,750,144/138,304
  6. Step 6: Final answer
    x = 706,152.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.