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Finding the Third Proportional to 408,038 and 612,057

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Solution

The third proportional to 408,038 and 612,057 is: 918,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,038 : 612,057 = 612,057 : x
  2. Step 2: Convert to fraction form
    408,038/612,057 = 612,057/x
  3. Step 3: Cross multiply
    408,038x = 612,057 × 612,057
  4. Step 4: Simplify right side
    408,038x = 374,613,771,249
  5. Step 5: Solve for x
    x = 374,613,771,249/408,038
  6. Step 6: Final answer
    x = 918,085.50

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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.