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Finding the Third Proportional to 415,052 and 641,006

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Solution

The third proportional to 415,052 and 641,006 is: 989,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,052 : 641,006 = 641,006 : x
  2. Step 2: Convert to fraction form
    415,052/641,006 = 641,006/x
  3. Step 3: Cross multiply
    415,052x = 641,006 × 641,006
  4. Step 4: Simplify right side
    415,052x = 410,888,692,036
  5. Step 5: Solve for x
    x = 410,888,692,036/415,052
  6. Step 6: Final answer
    x = 989,969.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.