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Finding the Third Proportional to 30,963 and 66,301.50

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Solution

The third proportional to 30,963 and 66,301.50 is: 141,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963 : 66,301.50 = 66,301.50 : x
  2. Step 2: Convert to fraction form
    30,963/66,301.50 = 66,301.50/x
  3. Step 3: Cross multiply
    30,963x = 66,301.50 × 66,301.50
  4. Step 4: Simplify right side
    30,963x = 4,395,888,902.25
  5. Step 5: Solve for x
    x = 4,395,888,902.25/30,963
  6. Step 6: Final answer
    x = 141,972.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.