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Finding the Third Proportional to 220,606.50 and 310,659

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Solution

The third proportional to 220,606.50 and 310,659 is: 437,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,606.50 : 310,659 = 310,659 : x
  2. Step 2: Convert to fraction form
    220,606.50/310,659 = 310,659/x
  3. Step 3: Cross multiply
    220,606.50x = 310,659 × 310,659
  4. Step 4: Simplify right side
    220,606.50x = 96,509,014,281
  5. Step 5: Solve for x
    x = 96,509,014,281/220,606.50
  6. Step 6: Final answer
    x = 437,471.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.