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Finding the Third Proportional to 362,431 and 768,710

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Solution

The third proportional to 362,431 and 768,710 is: 1,630,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,431 : 768,710 = 768,710 : x
  2. Step 2: Convert to fraction form
    362,431/768,710 = 768,710/x
  3. Step 3: Cross multiply
    362,431x = 768,710 × 768,710
  4. Step 4: Simplify right side
    362,431x = 590,915,064,100
  5. Step 5: Solve for x
    x = 590,915,064,100/362,431
  6. Step 6: Final answer
    x = 1,630,420.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.