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Finding the Third Proportional to 29,509 and 64,766

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Solution

The third proportional to 29,509 and 64,766 is: 142,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509 : 64,766 = 64,766 : x
  2. Step 2: Convert to fraction form
    29,509/64,766 = 64,766/x
  3. Step 3: Cross multiply
    29,509x = 64,766 × 64,766
  4. Step 4: Simplify right side
    29,509x = 4,194,634,756
  5. Step 5: Solve for x
    x = 4,194,634,756/29,509
  6. Step 6: Final answer
    x = 142,147.64

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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.