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Finding the Third Proportional to 516,271 and 743,583

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Solution

The third proportional to 516,271 and 743,583 is: 1,070,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,271 : 743,583 = 743,583 : x
  2. Step 2: Convert to fraction form
    516,271/743,583 = 743,583/x
  3. Step 3: Cross multiply
    516,271x = 743,583 × 743,583
  4. Step 4: Simplify right side
    516,271x = 552,915,677,889
  5. Step 5: Solve for x
    x = 552,915,677,889/516,271
  6. Step 6: Final answer
    x = 1,070,979.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.