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Finding the Third Proportional to 172,569 and 353,502

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Solution

The third proportional to 172,569 and 353,502 is: 724,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,569 : 353,502 = 353,502 : x
  2. Step 2: Convert to fraction form
    172,569/353,502 = 353,502/x
  3. Step 3: Cross multiply
    172,569x = 353,502 × 353,502
  4. Step 4: Simplify right side
    172,569x = 124,963,664,004
  5. Step 5: Solve for x
    x = 124,963,664,004/172,569
  6. Step 6: Final answer
    x = 724,137.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.