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Finding the Third Proportional to 76,942 and 115,106

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Solution

The third proportional to 76,942 and 115,106 is: 172,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,942 : 115,106 = 115,106 : x
  2. Step 2: Convert to fraction form
    76,942/115,106 = 115,106/x
  3. Step 3: Cross multiply
    76,942x = 115,106 × 115,106
  4. Step 4: Simplify right side
    76,942x = 13,249,391,236
  5. Step 5: Solve for x
    x = 13,249,391,236/76,942
  6. Step 6: Final answer
    x = 172,199.72

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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.