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Finding the Third Proportional to 43,312 and 66,128

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Solution

The third proportional to 43,312 and 66,128 is: 100,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,312 : 66,128 = 66,128 : x
  2. Step 2: Convert to fraction form
    43,312/66,128 = 66,128/x
  3. Step 3: Cross multiply
    43,312x = 66,128 × 66,128
  4. Step 4: Simplify right side
    43,312x = 4,372,912,384
  5. Step 5: Solve for x
    x = 4,372,912,384/43,312
  6. Step 6: Final answer
    x = 100,963.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.