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Finding the Third Proportional to 47,128 and 99,710

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Solution

The third proportional to 47,128 and 99,710 is: 210,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128 : 99,710 = 99,710 : x
  2. Step 2: Convert to fraction form
    47,128/99,710 = 99,710/x
  3. Step 3: Cross multiply
    47,128x = 99,710 × 99,710
  4. Step 4: Simplify right side
    47,128x = 9,942,084,100
  5. Step 5: Solve for x
    x = 9,942,084,100/47,128
  6. Step 6: Final answer
    x = 210,959.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.