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Finding the Third Proportional to 51,475 and 77,336

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Solution

The third proportional to 51,475 and 77,336 is: 116,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,475 : 77,336 = 77,336 : x
  2. Step 2: Convert to fraction form
    51,475/77,336 = 77,336/x
  3. Step 3: Cross multiply
    51,475x = 77,336 × 77,336
  4. Step 4: Simplify right side
    51,475x = 5,980,856,896
  5. Step 5: Solve for x
    x = 5,980,856,896/51,475
  6. Step 6: Final answer
    x = 116,189.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.