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Finding the Third Proportional to 115,446 and 180,455

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Solution

The third proportional to 115,446 and 180,455 is: 282,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,446 : 180,455 = 180,455 : x
  2. Step 2: Convert to fraction form
    115,446/180,455 = 180,455/x
  3. Step 3: Cross multiply
    115,446x = 180,455 × 180,455
  4. Step 4: Simplify right side
    115,446x = 32,564,007,025
  5. Step 5: Solve for x
    x = 32,564,007,025/115,446
  6. Step 6: Final answer
    x = 282,071.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.