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Finding the Third Proportional to 45,590 and 72,129

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Solution

The third proportional to 45,590 and 72,129 is: 114,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,590 : 72,129 = 72,129 : x
  2. Step 2: Convert to fraction form
    45,590/72,129 = 72,129/x
  3. Step 3: Cross multiply
    45,590x = 72,129 × 72,129
  4. Step 4: Simplify right side
    45,590x = 5,202,592,641
  5. Step 5: Solve for x
    x = 5,202,592,641/45,590
  6. Step 6: Final answer
    x = 114,116.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.