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Finding the Third Proportional to 63,046 and 128,972

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Solution

The third proportional to 63,046 and 128,972 is: 263,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,046 : 128,972 = 128,972 : x
  2. Step 2: Convert to fraction form
    63,046/128,972 = 128,972/x
  3. Step 3: Cross multiply
    63,046x = 128,972 × 128,972
  4. Step 4: Simplify right side
    63,046x = 16,633,776,784
  5. Step 5: Solve for x
    x = 16,633,776,784/63,046
  6. Step 6: Final answer
    x = 263,835.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.