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Finding the Third Proportional to 30,782 and 43,959

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Solution

The third proportional to 30,782 and 43,959 is: 62,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782 : 43,959 = 43,959 : x
  2. Step 2: Convert to fraction form
    30,782/43,959 = 43,959/x
  3. Step 3: Cross multiply
    30,782x = 43,959 × 43,959
  4. Step 4: Simplify right side
    30,782x = 1,932,393,681
  5. Step 5: Solve for x
    x = 1,932,393,681/30,782
  6. Step 6: Final answer
    x = 62,776.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.