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Finding the Third Proportional to 31,210.75 and 68,260.25

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Solution

The third proportional to 31,210.75 and 68,260.25 is: 149,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.75 : 68,260.25 = 68,260.25 : x
  2. Step 2: Convert to fraction form
    31,210.75/68,260.25 = 68,260.25/x
  3. Step 3: Cross multiply
    31,210.75x = 68,260.25 × 68,260.25
  4. Step 4: Simplify right side
    31,210.75x = 4,659,461,730.06
  5. Step 5: Solve for x
    x = 4,659,461,730.06/31,210.75
  6. Step 6: Final answer
    x = 149,290.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.