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Finding the Third Proportional to 415,530 and 623,295

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Solution

The third proportional to 415,530 and 623,295 is: 934,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,530 : 623,295 = 623,295 : x
  2. Step 2: Convert to fraction form
    415,530/623,295 = 623,295/x
  3. Step 3: Cross multiply
    415,530x = 623,295 × 623,295
  4. Step 4: Simplify right side
    415,530x = 388,496,657,025
  5. Step 5: Solve for x
    x = 388,496,657,025/415,530
  6. Step 6: Final answer
    x = 934,942.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.