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Finding the Third Proportional to 83,462 and 172,430

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Solution

The third proportional to 83,462 and 172,430 is: 356,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462 : 172,430 = 172,430 : x
  2. Step 2: Convert to fraction form
    83,462/172,430 = 172,430/x
  3. Step 3: Cross multiply
    83,462x = 172,430 × 172,430
  4. Step 4: Simplify right side
    83,462x = 29,732,104,900
  5. Step 5: Solve for x
    x = 29,732,104,900/83,462
  6. Step 6: Final answer
    x = 356,235.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.