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Finding the Third Proportional to 45,261 and 72,429.75

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Solution

The third proportional to 45,261 and 72,429.75 is: 115,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,261 : 72,429.75 = 72,429.75 : x
  2. Step 2: Convert to fraction form
    45,261/72,429.75 = 72,429.75/x
  3. Step 3: Cross multiply
    45,261x = 72,429.75 × 72,429.75
  4. Step 4: Simplify right side
    45,261x = 5,246,068,685.06
  5. Step 5: Solve for x
    x = 5,246,068,685.06/45,261
  6. Step 6: Final answer
    x = 115,907.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.