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Finding the Third Proportional to 79,919.50 and 172,304

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Solution

The third proportional to 79,919.50 and 172,304 is: 371,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,919.50 : 172,304 = 172,304 : x
  2. Step 2: Convert to fraction form
    79,919.50/172,304 = 172,304/x
  3. Step 3: Cross multiply
    79,919.50x = 172,304 × 172,304
  4. Step 4: Simplify right side
    79,919.50x = 29,688,668,416
  5. Step 5: Solve for x
    x = 29,688,668,416/79,919.50
  6. Step 6: Final answer
    x = 371,482.16

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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.