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Finding the Third Proportional to 258,840 and 406,120

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Solution

The third proportional to 258,840 and 406,120 is: 637,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,840 : 406,120 = 406,120 : x
  2. Step 2: Convert to fraction form
    258,840/406,120 = 406,120/x
  3. Step 3: Cross multiply
    258,840x = 406,120 × 406,120
  4. Step 4: Simplify right side
    258,840x = 164,933,454,400
  5. Step 5: Solve for x
    x = 164,933,454,400/258,840
  6. Step 6: Final answer
    x = 637,202.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.