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Finding the Third Proportional to 172,653 and 377,328

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Solution

The third proportional to 172,653 and 377,328 is: 824,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,653 : 377,328 = 377,328 : x
  2. Step 2: Convert to fraction form
    172,653/377,328 = 377,328/x
  3. Step 3: Cross multiply
    172,653x = 377,328 × 377,328
  4. Step 4: Simplify right side
    172,653x = 142,376,419,584
  5. Step 5: Solve for x
    x = 142,376,419,584/172,653
  6. Step 6: Final answer
    x = 824,639.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.