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Finding the Third Proportional to 638,570 and 929,775

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Solution

The third proportional to 638,570 and 929,775 is: 1,353,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,570 : 929,775 = 929,775 : x
  2. Step 2: Convert to fraction form
    638,570/929,775 = 929,775/x
  3. Step 3: Cross multiply
    638,570x = 929,775 × 929,775
  4. Step 4: Simplify right side
    638,570x = 864,481,550,625
  5. Step 5: Solve for x
    x = 864,481,550,625/638,570
  6. Step 6: Final answer
    x = 1,353,777.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.