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Finding the Third Proportional to 313,087 and 670,447

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Solution

The third proportional to 313,087 and 670,447 is: 1,435,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,087 : 670,447 = 670,447 : x
  2. Step 2: Convert to fraction form
    313,087/670,447 = 670,447/x
  3. Step 3: Cross multiply
    313,087x = 670,447 × 670,447
  4. Step 4: Simplify right side
    313,087x = 449,499,179,809
  5. Step 5: Solve for x
    x = 449,499,179,809/313,087
  6. Step 6: Final answer
    x = 1,435,700.56

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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.