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Finding the Third Proportional to 76,489 and 112,482

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Solution

The third proportional to 76,489 and 112,482 is: 165,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489 : 112,482 = 112,482 : x
  2. Step 2: Convert to fraction form
    76,489/112,482 = 112,482/x
  3. Step 3: Cross multiply
    76,489x = 112,482 × 112,482
  4. Step 4: Simplify right side
    76,489x = 12,652,200,324
  5. Step 5: Solve for x
    x = 12,652,200,324/76,489
  6. Step 6: Final answer
    x = 165,412.02

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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.