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Finding the Third Proportional to 306,933.47 and 669,620.25

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Solution

The third proportional to 306,933.47 and 669,620.25 is: 1,460,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,933.47 : 669,620.25 = 669,620.25 : x
  2. Step 2: Convert to fraction form
    306,933.47/669,620.25 = 669,620.25/x
  3. Step 3: Cross multiply
    306,933.47x = 669,620.25 × 669,620.25
  4. Step 4: Simplify right side
    306,933.47x = 448,391,279,210.06
  5. Step 5: Solve for x
    x = 448,391,279,210.06/306,933.47
  6. Step 6: Final answer
    x = 1,460,874.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.