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Finding the Third Proportional to 200,432 and 322,369

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Solution

The third proportional to 200,432 and 322,369 is: 518,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432 : 322,369 = 322,369 : x
  2. Step 2: Convert to fraction form
    200,432/322,369 = 322,369/x
  3. Step 3: Cross multiply
    200,432x = 322,369 × 322,369
  4. Step 4: Simplify right side
    200,432x = 103,921,772,161
  5. Step 5: Solve for x
    x = 103,921,772,161/200,432
  6. Step 6: Final answer
    x = 518,488.92

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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.