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Finding the Third Proportional to 459,821 and 717,671

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Solution

The third proportional to 459,821 and 717,671 is: 1,120,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,821 : 717,671 = 717,671 : x
  2. Step 2: Convert to fraction form
    459,821/717,671 = 717,671/x
  3. Step 3: Cross multiply
    459,821x = 717,671 × 717,671
  4. Step 4: Simplify right side
    459,821x = 515,051,664,241
  5. Step 5: Solve for x
    x = 515,051,664,241/459,821
  6. Step 6: Final answer
    x = 1,120,113.40

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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.