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Finding the Third Proportional to 444,215 and 670,319

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Solution

The third proportional to 444,215 and 670,319 is: 1,011,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,215 : 670,319 = 670,319 : x
  2. Step 2: Convert to fraction form
    444,215/670,319 = 670,319/x
  3. Step 3: Cross multiply
    444,215x = 670,319 × 670,319
  4. Step 4: Simplify right side
    444,215x = 449,327,561,761
  5. Step 5: Solve for x
    x = 449,327,561,761/444,215
  6. Step 6: Final answer
    x = 1,011,509.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.