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Finding the Third Proportional to 79,919 and 172,303

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Solution

The third proportional to 79,919 and 172,303 is: 371,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,919 : 172,303 = 172,303 : x
  2. Step 2: Convert to fraction form
    79,919/172,303 = 172,303/x
  3. Step 3: Cross multiply
    79,919x = 172,303 × 172,303
  4. Step 4: Simplify right side
    79,919x = 29,688,323,809
  5. Step 5: Solve for x
    x = 29,688,323,809/79,919
  6. Step 6: Final answer
    x = 371,480.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.