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Finding the Third Proportional to 31,282.13 and 68,072.25

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Solution

The third proportional to 31,282.13 and 68,072.25 is: 148,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.13 : 68,072.25 = 68,072.25 : x
  2. Step 2: Convert to fraction form
    31,282.13/68,072.25 = 68,072.25/x
  3. Step 3: Cross multiply
    31,282.13x = 68,072.25 × 68,072.25
  4. Step 4: Simplify right side
    31,282.13x = 4,633,831,220.06
  5. Step 5: Solve for x
    x = 4,633,831,220.06/31,282.13
  6. Step 6: Final answer
    x = 148,130.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.