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Finding the Third Proportional to 200,430 and 322,366

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Solution

The third proportional to 200,430 and 322,366 is: 518,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,430 : 322,366 = 322,366 : x
  2. Step 2: Convert to fraction form
    200,430/322,366 = 322,366/x
  3. Step 3: Cross multiply
    200,430x = 322,366 × 322,366
  4. Step 4: Simplify right side
    200,430x = 103,919,837,956
  5. Step 5: Solve for x
    x = 103,919,837,956/200,430
  6. Step 6: Final answer
    x = 518,484.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.