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Finding the Third Proportional to 447,576 and 698,580

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Solution

The third proportional to 447,576 and 698,580 is: 1,090,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,576 : 698,580 = 698,580 : x
  2. Step 2: Convert to fraction form
    447,576/698,580 = 698,580/x
  3. Step 3: Cross multiply
    447,576x = 698,580 × 698,580
  4. Step 4: Simplify right side
    447,576x = 488,014,016,400
  5. Step 5: Solve for x
    x = 488,014,016,400/447,576
  6. Step 6: Final answer
    x = 1,090,348.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.