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Finding the Third Proportional to 71,236 and 102,664

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Solution

The third proportional to 71,236 and 102,664 is: 147,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,236 : 102,664 = 102,664 : x
  2. Step 2: Convert to fraction form
    71,236/102,664 = 102,664/x
  3. Step 3: Cross multiply
    71,236x = 102,664 × 102,664
  4. Step 4: Simplify right side
    71,236x = 10,539,896,896
  5. Step 5: Solve for x
    x = 10,539,896,896/71,236
  6. Step 6: Final answer
    x = 147,957.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.