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Finding the Third Proportional to 172,860 and 282,262

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Solution

The third proportional to 172,860 and 282,262 is: 460,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,860 : 282,262 = 282,262 : x
  2. Step 2: Convert to fraction form
    172,860/282,262 = 282,262/x
  3. Step 3: Cross multiply
    172,860x = 282,262 × 282,262
  4. Step 4: Simplify right side
    172,860x = 79,671,836,644
  5. Step 5: Solve for x
    x = 79,671,836,644/172,860
  6. Step 6: Final answer
    x = 460,903.83

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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.