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Finding the Third Proportional to 76,343 and 105,489

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Solution

The third proportional to 76,343 and 105,489 is: 145,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343 : 105,489 = 105,489 : x
  2. Step 2: Convert to fraction form
    76,343/105,489 = 105,489/x
  3. Step 3: Cross multiply
    76,343x = 105,489 × 105,489
  4. Step 4: Simplify right side
    76,343x = 11,127,929,121
  5. Step 5: Solve for x
    x = 11,127,929,121/76,343
  6. Step 6: Final answer
    x = 145,762.27

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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.