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Finding the Third Proportional to 42,664 and 66,412

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Solution

The third proportional to 42,664 and 66,412 is: 103,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,664 : 66,412 = 66,412 : x
  2. Step 2: Convert to fraction form
    42,664/66,412 = 66,412/x
  3. Step 3: Cross multiply
    42,664x = 66,412 × 66,412
  4. Step 4: Simplify right side
    42,664x = 4,410,553,744
  5. Step 5: Solve for x
    x = 4,410,553,744/42,664
  6. Step 6: Final answer
    x = 103,378.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.