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Finding the Third Proportional to 310,863 and 670,731

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Solution

The third proportional to 310,863 and 670,731 is: 1,447,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,863 : 670,731 = 670,731 : x
  2. Step 2: Convert to fraction form
    310,863/670,731 = 670,731/x
  3. Step 3: Cross multiply
    310,863x = 670,731 × 670,731
  4. Step 4: Simplify right side
    310,863x = 449,880,074,361
  5. Step 5: Solve for x
    x = 449,880,074,361/310,863
  6. Step 6: Final answer
    x = 1,447,197.24

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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.