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Finding the Third Proportional to 291,234 and 639,570

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Solution

The third proportional to 291,234 and 639,570 is: 1,404,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,234 : 639,570 = 639,570 : x
  2. Step 2: Convert to fraction form
    291,234/639,570 = 639,570/x
  3. Step 3: Cross multiply
    291,234x = 639,570 × 639,570
  4. Step 4: Simplify right side
    291,234x = 409,049,784,900
  5. Step 5: Solve for x
    x = 409,049,784,900/291,234
  6. Step 6: Final answer
    x = 1,404,539.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.