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Finding the Third Proportional to 310,464 and 670,756

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Solution

The third proportional to 310,464 and 670,756 is: 1,449,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,464 : 670,756 = 670,756 : x
  2. Step 2: Convert to fraction form
    310,464/670,756 = 670,756/x
  3. Step 3: Cross multiply
    310,464x = 670,756 × 670,756
  4. Step 4: Simplify right side
    310,464x = 449,913,611,536
  5. Step 5: Solve for x
    x = 449,913,611,536/310,464
  6. Step 6: Final answer
    x = 1,449,165.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.