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Finding the Third Proportional to 306,888.75 and 669,535.88

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Solution

The third proportional to 306,888.75 and 669,535.88 is: 1,460,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,888.75 : 669,535.88 = 669,535.88 : x
  2. Step 2: Convert to fraction form
    306,888.75/669,535.88 = 669,535.88/x
  3. Step 3: Cross multiply
    306,888.75x = 669,535.88 × 669,535.88
  4. Step 4: Simplify right side
    306,888.75x = 448,278,287,912.02
  5. Step 5: Solve for x
    x = 448,278,287,912.02/306,888.75
  6. Step 6: Final answer
    x = 1,460,719.20

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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.