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Finding the Third Proportional to 318,178.13 and 669,080.25

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Solution

The third proportional to 318,178.13 and 669,080.25 is: 1,406,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,178.13 : 669,080.25 = 669,080.25 : x
  2. Step 2: Convert to fraction form
    318,178.13/669,080.25 = 669,080.25/x
  3. Step 3: Cross multiply
    318,178.13x = 669,080.25 × 669,080.25
  4. Step 4: Simplify right side
    318,178.13x = 447,668,380,940.06
  5. Step 5: Solve for x
    x = 447,668,380,940.06/318,178.13
  6. Step 6: Final answer
    x = 1,406,974.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.