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Finding the Third Proportional to 76,782 and 118,453

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Solution

The third proportional to 76,782 and 118,453 is: 182,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,782 : 118,453 = 118,453 : x
  2. Step 2: Convert to fraction form
    76,782/118,453 = 118,453/x
  3. Step 3: Cross multiply
    76,782x = 118,453 × 118,453
  4. Step 4: Simplify right side
    76,782x = 14,031,113,209
  5. Step 5: Solve for x
    x = 14,031,113,209/76,782
  6. Step 6: Final answer
    x = 182,739.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.