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Finding the Third Proportional to 200,490 and 433,236

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Solution

The third proportional to 200,490 and 433,236 is: 936,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,490 : 433,236 = 433,236 : x
  2. Step 2: Convert to fraction form
    200,490/433,236 = 433,236/x
  3. Step 3: Cross multiply
    200,490x = 433,236 × 433,236
  4. Step 4: Simplify right side
    200,490x = 187,693,431,696
  5. Step 5: Solve for x
    x = 187,693,431,696/200,490
  6. Step 6: Final answer
    x = 936,173.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.