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Finding the Third Proportional to 63,796 and 91,320

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Solution

The third proportional to 63,796 and 91,320 is: 130,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,796 : 91,320 = 91,320 : x
  2. Step 2: Convert to fraction form
    63,796/91,320 = 91,320/x
  3. Step 3: Cross multiply
    63,796x = 91,320 × 91,320
  4. Step 4: Simplify right side
    63,796x = 8,339,342,400
  5. Step 5: Solve for x
    x = 8,339,342,400/63,796
  6. Step 6: Final answer
    x = 130,718.89

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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.