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Finding the Third Proportional to 345,052 and 754,072

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Solution

The third proportional to 345,052 and 754,072 is: 1,647,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,052 : 754,072 = 754,072 : x
  2. Step 2: Convert to fraction form
    345,052/754,072 = 754,072/x
  3. Step 3: Cross multiply
    345,052x = 754,072 × 754,072
  4. Step 4: Simplify right side
    345,052x = 568,624,581,184
  5. Step 5: Solve for x
    x = 568,624,581,184/345,052
  6. Step 6: Final answer
    x = 1,647,938.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.