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Finding the Third Proportional to 345,144 and 707,013

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Solution

The third proportional to 345,144 and 707,013 is: 1,448,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,144 : 707,013 = 707,013 : x
  2. Step 2: Convert to fraction form
    345,144/707,013 = 707,013/x
  3. Step 3: Cross multiply
    345,144x = 707,013 × 707,013
  4. Step 4: Simplify right side
    345,144x = 499,867,382,169
  5. Step 5: Solve for x
    x = 499,867,382,169/345,144
  6. Step 6: Final answer
    x = 1,448,286.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.