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Finding the Third Proportional to 230,715 and 349,147

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Solution

The third proportional to 230,715 and 349,147 is: 528,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,715 : 349,147 = 349,147 : x
  2. Step 2: Convert to fraction form
    230,715/349,147 = 349,147/x
  3. Step 3: Cross multiply
    230,715x = 349,147 × 349,147
  4. Step 4: Simplify right side
    230,715x = 121,903,627,609
  5. Step 5: Solve for x
    x = 121,903,627,609/230,715
  6. Step 6: Final answer
    x = 528,373.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.