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Finding the Third Proportional to 310,478 and 670,780

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Solution

The third proportional to 310,478 and 670,780 is: 1,449,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,478 : 670,780 = 670,780 : x
  2. Step 2: Convert to fraction form
    310,478/670,780 = 670,780/x
  3. Step 3: Cross multiply
    310,478x = 670,780 × 670,780
  4. Step 4: Simplify right side
    310,478x = 449,945,808,400
  5. Step 5: Solve for x
    x = 449,945,808,400/310,478
  6. Step 6: Final answer
    x = 1,449,203.51

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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.