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Finding the Third Proportional to 486,573 and 729,130

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Solution

The third proportional to 486,573 and 729,130 is: 1,092,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,573 : 729,130 = 729,130 : x
  2. Step 2: Convert to fraction form
    486,573/729,130 = 729,130/x
  3. Step 3: Cross multiply
    486,573x = 729,130 × 729,130
  4. Step 4: Simplify right side
    486,573x = 531,630,556,900
  5. Step 5: Solve for x
    x = 531,630,556,900/486,573
  6. Step 6: Final answer
    x = 1,092,601.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.