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Finding the Third Proportional to 76,590 and 112,215

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Solution

The third proportional to 76,590 and 112,215 is: 164,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,590 : 112,215 = 112,215 : x
  2. Step 2: Convert to fraction form
    76,590/112,215 = 112,215/x
  3. Step 3: Cross multiply
    76,590x = 112,215 × 112,215
  4. Step 4: Simplify right side
    76,590x = 12,592,206,225
  5. Step 5: Solve for x
    x = 12,592,206,225/76,590
  6. Step 6: Final answer
    x = 164,410.58

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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.