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Finding the Third Proportional to 172,853 and 369,683

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Solution

The third proportional to 172,853 and 369,683 is: 790,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,853 : 369,683 = 369,683 : x
  2. Step 2: Convert to fraction form
    172,853/369,683 = 369,683/x
  3. Step 3: Cross multiply
    172,853x = 369,683 × 369,683
  4. Step 4: Simplify right side
    172,853x = 136,665,520,489
  5. Step 5: Solve for x
    x = 136,665,520,489/172,853
  6. Step 6: Final answer
    x = 790,645.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.