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Finding the Third Proportional to 149,509 and 231,737

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Solution

The third proportional to 149,509 and 231,737 is: 359,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,509 : 231,737 = 231,737 : x
  2. Step 2: Convert to fraction form
    149,509/231,737 = 231,737/x
  3. Step 3: Cross multiply
    149,509x = 231,737 × 231,737
  4. Step 4: Simplify right side
    149,509x = 53,702,037,169
  5. Step 5: Solve for x
    x = 53,702,037,169/149,509
  6. Step 6: Final answer
    x = 359,189.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.