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Finding the Third Proportional to 146,857 and 312,915

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Solution

The third proportional to 146,857 and 312,915 is: 666,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,857 : 312,915 = 312,915 : x
  2. Step 2: Convert to fraction form
    146,857/312,915 = 312,915/x
  3. Step 3: Cross multiply
    146,857x = 312,915 × 312,915
  4. Step 4: Simplify right side
    146,857x = 97,915,797,225
  5. Step 5: Solve for x
    x = 97,915,797,225/146,857
  6. Step 6: Final answer
    x = 666,742.46

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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.