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Finding the Third Proportional to 310,908 and 664,476

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Solution

The third proportional to 310,908 and 664,476 is: 1,420,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,908 : 664,476 = 664,476 : x
  2. Step 2: Convert to fraction form
    310,908/664,476 = 664,476/x
  3. Step 3: Cross multiply
    310,908x = 664,476 × 664,476
  4. Step 4: Simplify right side
    310,908x = 441,528,354,576
  5. Step 5: Solve for x
    x = 441,528,354,576/310,908
  6. Step 6: Final answer
    x = 1,420,125.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.