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Finding the Third Proportional to 260,853 and 349,402

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Solution

The third proportional to 260,853 and 349,402 is: 468,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,853 : 349,402 = 349,402 : x
  2. Step 2: Convert to fraction form
    260,853/349,402 = 349,402/x
  3. Step 3: Cross multiply
    260,853x = 349,402 × 349,402
  4. Step 4: Simplify right side
    260,853x = 122,081,757,604
  5. Step 5: Solve for x
    x = 122,081,757,604/260,853
  6. Step 6: Final answer
    x = 468,009.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.