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Finding the Third Proportional to 76,670 and 105,575

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Solution

The third proportional to 76,670 and 105,575 is: 145,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670 : 105,575 = 105,575 : x
  2. Step 2: Convert to fraction form
    76,670/105,575 = 105,575/x
  3. Step 3: Cross multiply
    76,670x = 105,575 × 105,575
  4. Step 4: Simplify right side
    76,670x = 11,146,080,625
  5. Step 5: Solve for x
    x = 11,146,080,625/76,670
  6. Step 6: Final answer
    x = 145,377.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.