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Finding the Third Proportional to 310,903.50 and 669,372

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Solution

The third proportional to 310,903.50 and 669,372 is: 1,441,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903.50 : 669,372 = 669,372 : x
  2. Step 2: Convert to fraction form
    310,903.50/669,372 = 669,372/x
  3. Step 3: Cross multiply
    310,903.50x = 669,372 × 669,372
  4. Step 4: Simplify right side
    310,903.50x = 448,058,874,384
  5. Step 5: Solve for x
    x = 448,058,874,384/310,903.50
  6. Step 6: Final answer
    x = 1,441,150.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.