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Finding the Third Proportional to 258,946 and 349,857

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Solution

The third proportional to 258,946 and 349,857 is: 472,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,946 : 349,857 = 349,857 : x
  2. Step 2: Convert to fraction form
    258,946/349,857 = 349,857/x
  3. Step 3: Cross multiply
    258,946x = 349,857 × 349,857
  4. Step 4: Simplify right side
    258,946x = 122,399,920,449
  5. Step 5: Solve for x
    x = 122,399,920,449/258,946
  6. Step 6: Final answer
    x = 472,685.12

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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.