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Finding the Third Proportional to 145,530 and 312,324

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Solution

The third proportional to 145,530 and 312,324 is: 670,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,530 : 312,324 = 312,324 : x
  2. Step 2: Convert to fraction form
    145,530/312,324 = 312,324/x
  3. Step 3: Cross multiply
    145,530x = 312,324 × 312,324
  4. Step 4: Simplify right side
    145,530x = 97,546,280,976
  5. Step 5: Solve for x
    x = 97,546,280,976/145,530
  6. Step 6: Final answer
    x = 670,282.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.