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Finding the Third Proportional to 310,716 and 465,912

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Solution

The third proportional to 310,716 and 465,912 is: 698,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,716 : 465,912 = 465,912 : x
  2. Step 2: Convert to fraction form
    310,716/465,912 = 465,912/x
  3. Step 3: Cross multiply
    310,716x = 465,912 × 465,912
  4. Step 4: Simplify right side
    310,716x = 217,073,991,744
  5. Step 5: Solve for x
    x = 217,073,991,744/310,716
  6. Step 6: Final answer
    x = 698,625.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.