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Finding the Third Proportional to 310,513.50 and 670,821.75

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Solution

The third proportional to 310,513.50 and 670,821.75 is: 1,449,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,513.50 : 670,821.75 = 670,821.75 : x
  2. Step 2: Convert to fraction form
    310,513.50/670,821.75 = 670,821.75/x
  3. Step 3: Cross multiply
    310,513.50x = 670,821.75 × 670,821.75
  4. Step 4: Simplify right side
    310,513.50x = 450,001,820,273.06
  5. Step 5: Solve for x
    x = 450,001,820,273.06/310,513.50
  6. Step 6: Final answer
    x = 1,449,218.22

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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.