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Finding the Third Proportional to 69,782 and 145,468

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Solution

The third proportional to 69,782 and 145,468 is: 303,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782 : 145,468 = 145,468 : x
  2. Step 2: Convert to fraction form
    69,782/145,468 = 145,468/x
  3. Step 3: Cross multiply
    69,782x = 145,468 × 145,468
  4. Step 4: Simplify right side
    69,782x = 21,160,939,024
  5. Step 5: Solve for x
    x = 21,160,939,024/69,782
  6. Step 6: Final answer
    x = 303,243.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.