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Finding the Third Proportional to 135,376 and 312,008

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Solution

The third proportional to 135,376 and 312,008 is: 719,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,376 : 312,008 = 312,008 : x
  2. Step 2: Convert to fraction form
    135,376/312,008 = 312,008/x
  3. Step 3: Cross multiply
    135,376x = 312,008 × 312,008
  4. Step 4: Simplify right side
    135,376x = 97,348,992,064
  5. Step 5: Solve for x
    x = 97,348,992,064/135,376
  6. Step 6: Final answer
    x = 719,100.82

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.