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Finding the Third Proportional to 47,129 and 99,712

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Solution

The third proportional to 47,129 and 99,712 is: 210,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129 : 99,712 = 99,712 : x
  2. Step 2: Convert to fraction form
    47,129/99,712 = 99,712/x
  3. Step 3: Cross multiply
    47,129x = 99,712 × 99,712
  4. Step 4: Simplify right side
    47,129x = 9,942,482,944
  5. Step 5: Solve for x
    x = 9,942,482,944/47,129
  6. Step 6: Final answer
    x = 210,963.16

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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.