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Finding the Third Proportional to 72,803 and 103,129

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Solution

The third proportional to 72,803 and 103,129 is: 146,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,803 : 103,129 = 103,129 : x
  2. Step 2: Convert to fraction form
    72,803/103,129 = 103,129/x
  3. Step 3: Cross multiply
    72,803x = 103,129 × 103,129
  4. Step 4: Simplify right side
    72,803x = 10,635,590,641
  5. Step 5: Solve for x
    x = 10,635,590,641/72,803
  6. Step 6: Final answer
    x = 146,087.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.