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Finding the Third Proportional to 310,899 and 669,364

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Solution

The third proportional to 310,899 and 669,364 is: 1,441,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,899 : 669,364 = 669,364 : x
  2. Step 2: Convert to fraction form
    310,899/669,364 = 669,364/x
  3. Step 3: Cross multiply
    310,899x = 669,364 × 669,364
  4. Step 4: Simplify right side
    310,899x = 448,048,164,496
  5. Step 5: Solve for x
    x = 448,048,164,496/310,899
  6. Step 6: Final answer
    x = 1,441,137.36

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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.