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Finding the Third Proportional to 310,862 and 670,729

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Solution

The third proportional to 310,862 and 670,729 is: 1,447,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,862 : 670,729 = 670,729 : x
  2. Step 2: Convert to fraction form
    310,862/670,729 = 670,729/x
  3. Step 3: Cross multiply
    310,862x = 670,729 × 670,729
  4. Step 4: Simplify right side
    310,862x = 449,877,391,441
  5. Step 5: Solve for x
    x = 449,877,391,441/310,862
  6. Step 6: Final answer
    x = 1,447,193.26

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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.