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Finding the Third Proportional to 76,458 and 103,263

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Solution

The third proportional to 76,458 and 103,263 is: 139,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,458 : 103,263 = 103,263 : x
  2. Step 2: Convert to fraction form
    76,458/103,263 = 103,263/x
  3. Step 3: Cross multiply
    76,458x = 103,263 × 103,263
  4. Step 4: Simplify right side
    76,458x = 10,663,247,169
  5. Step 5: Solve for x
    x = 10,663,247,169/76,458
  6. Step 6: Final answer
    x = 139,465.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.