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Finding the Third Proportional to 481,390 and 762,909

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Solution

The third proportional to 481,390 and 762,909 is: 1,209,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,390 : 762,909 = 762,909 : x
  2. Step 2: Convert to fraction form
    481,390/762,909 = 762,909/x
  3. Step 3: Cross multiply
    481,390x = 762,909 × 762,909
  4. Step 4: Simplify right side
    481,390x = 582,030,142,281
  5. Step 5: Solve for x
    x = 582,030,142,281/481,390
  6. Step 6: Final answer
    x = 1,209,061.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.