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Finding the Third Proportional to 299,430 and 437,462

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Solution

The third proportional to 299,430 and 437,462 is: 639,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430 : 437,462 = 437,462 : x
  2. Step 2: Convert to fraction form
    299,430/437,462 = 437,462/x
  3. Step 3: Cross multiply
    299,430x = 437,462 × 437,462
  4. Step 4: Simplify right side
    299,430x = 191,373,001,444
  5. Step 5: Solve for x
    x = 191,373,001,444/299,430
  6. Step 6: Final answer
    x = 639,124.34

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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.