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Finding the Third Proportional to 232,868.25 and 480,602.25

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Solution

The third proportional to 232,868.25 and 480,602.25 is: 991,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,868.25 : 480,602.25 = 480,602.25 : x
  2. Step 2: Convert to fraction form
    232,868.25/480,602.25 = 480,602.25/x
  3. Step 3: Cross multiply
    232,868.25x = 480,602.25 × 480,602.25
  4. Step 4: Simplify right side
    232,868.25x = 230,978,522,705.06
  5. Step 5: Solve for x
    x = 230,978,522,705.06/232,868.25
  6. Step 6: Final answer
    x = 991,884.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.