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Finding the Third Proportional to 172,780 and 282,136

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Solution

The third proportional to 172,780 and 282,136 is: 460,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,780 : 282,136 = 282,136 : x
  2. Step 2: Convert to fraction form
    172,780/282,136 = 282,136/x
  3. Step 3: Cross multiply
    172,780x = 282,136 × 282,136
  4. Step 4: Simplify right side
    172,780x = 79,600,722,496
  5. Step 5: Solve for x
    x = 79,600,722,496/172,780
  6. Step 6: Final answer
    x = 460,705.65

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.