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Finding the Third Proportional to 104,276 and 172,587

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Solution

The third proportional to 104,276 and 172,587 is: 285,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,276 : 172,587 = 172,587 : x
  2. Step 2: Convert to fraction form
    104,276/172,587 = 172,587/x
  3. Step 3: Cross multiply
    104,276x = 172,587 × 172,587
  4. Step 4: Simplify right side
    104,276x = 29,786,272,569
  5. Step 5: Solve for x
    x = 29,786,272,569/104,276
  6. Step 6: Final answer
    x = 285,648.40

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.