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Finding the Third Proportional to 200,546 and 433,732

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Solution

The third proportional to 200,546 and 433,732 is: 938,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546 : 433,732 = 433,732 : x
  2. Step 2: Convert to fraction form
    200,546/433,732 = 433,732/x
  3. Step 3: Cross multiply
    200,546x = 433,732 × 433,732
  4. Step 4: Simplify right side
    200,546x = 188,123,447,824
  5. Step 5: Solve for x
    x = 188,123,447,824/200,546
  6. Step 6: Final answer
    x = 938,056.35

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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.