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Finding the Third Proportional to 76,556 and 112,646

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Solution

The third proportional to 76,556 and 112,646 is: 165,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,556 : 112,646 = 112,646 : x
  2. Step 2: Convert to fraction form
    76,556/112,646 = 112,646/x
  3. Step 3: Cross multiply
    76,556x = 112,646 × 112,646
  4. Step 4: Simplify right side
    76,556x = 12,689,121,316
  5. Step 5: Solve for x
    x = 12,689,121,316/76,556
  6. Step 6: Final answer
    x = 165,749.53

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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.