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Finding the Third Proportional to 283,912 and 439,535

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Solution

The third proportional to 283,912 and 439,535 is: 680,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,912 : 439,535 = 439,535 : x
  2. Step 2: Convert to fraction form
    283,912/439,535 = 439,535/x
  3. Step 3: Cross multiply
    283,912x = 439,535 × 439,535
  4. Step 4: Simplify right side
    283,912x = 193,191,016,225
  5. Step 5: Solve for x
    x = 193,191,016,225/283,912
  6. Step 6: Final answer
    x = 680,460.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.