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Finding the Third Proportional to 258,480 and 349,144

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Solution

The third proportional to 258,480 and 349,144 is: 471,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,480 : 349,144 = 349,144 : x
  2. Step 2: Convert to fraction form
    258,480/349,144 = 349,144/x
  3. Step 3: Cross multiply
    258,480x = 349,144 × 349,144
  4. Step 4: Simplify right side
    258,480x = 121,901,532,736
  5. Step 5: Solve for x
    x = 121,901,532,736/258,480
  6. Step 6: Final answer
    x = 471,609.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.