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Finding the Third Proportional to 76,346 and 112,236

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Solution

The third proportional to 76,346 and 112,236 is: 164,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346 : 112,236 = 112,236 : x
  2. Step 2: Convert to fraction form
    76,346/112,236 = 112,236/x
  3. Step 3: Cross multiply
    76,346x = 112,236 × 112,236
  4. Step 4: Simplify right side
    76,346x = 12,596,919,696
  5. Step 5: Solve for x
    x = 12,596,919,696/76,346
  6. Step 6: Final answer
    x = 164,997.77

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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.