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Finding the Third Proportional to 76,486 and 112,477

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Solution

The third proportional to 76,486 and 112,477 is: 165,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486 : 112,477 = 112,477 : x
  2. Step 2: Convert to fraction form
    76,486/112,477 = 112,477/x
  3. Step 3: Cross multiply
    76,486x = 112,477 × 112,477
  4. Step 4: Simplify right side
    76,486x = 12,651,075,529
  5. Step 5: Solve for x
    x = 12,651,075,529/76,486
  6. Step 6: Final answer
    x = 165,403.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.