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Finding the Third Proportional to 183,546 and 258,480

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Solution

The third proportional to 183,546 and 258,480 is: 364,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,546 : 258,480 = 258,480 : x
  2. Step 2: Convert to fraction form
    183,546/258,480 = 258,480/x
  3. Step 3: Cross multiply
    183,546x = 258,480 × 258,480
  4. Step 4: Simplify right side
    183,546x = 66,811,910,400
  5. Step 5: Solve for x
    x = 66,811,910,400/183,546
  6. Step 6: Final answer
    x = 364,006.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.