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Finding the Third Proportional to 338,085 and 483,430

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Solution

The third proportional to 338,085 and 483,430 is: 691,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,085 : 483,430 = 483,430 : x
  2. Step 2: Convert to fraction form
    338,085/483,430 = 483,430/x
  3. Step 3: Cross multiply
    338,085x = 483,430 × 483,430
  4. Step 4: Simplify right side
    338,085x = 233,704,564,900
  5. Step 5: Solve for x
    x = 233,704,564,900/338,085
  6. Step 6: Final answer
    x = 691,259.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.