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Finding the Third Proportional to 310,063.50 and 669,699

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Solution

The third proportional to 310,063.50 and 669,699 is: 1,446,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,063.50 : 669,699 = 669,699 : x
  2. Step 2: Convert to fraction form
    310,063.50/669,699 = 669,699/x
  3. Step 3: Cross multiply
    310,063.50x = 669,699 × 669,699
  4. Step 4: Simplify right side
    310,063.50x = 448,496,750,601
  5. Step 5: Solve for x
    x = 448,496,750,601/310,063.50
  6. Step 6: Final answer
    x = 1,446,467.42

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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.