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Finding the Third Proportional to 310,901 and 669,368

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Solution

The third proportional to 310,901 and 669,368 is: 1,441,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,901 : 669,368 = 669,368 : x
  2. Step 2: Convert to fraction form
    310,901/669,368 = 669,368/x
  3. Step 3: Cross multiply
    310,901x = 669,368 × 669,368
  4. Step 4: Simplify right side
    310,901x = 448,053,519,424
  5. Step 5: Solve for x
    x = 448,053,519,424/310,901
  6. Step 6: Final answer
    x = 1,441,145.31

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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.