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Finding the Third Proportional to 200,946 and 433,444

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Solution

The third proportional to 200,946 and 433,444 is: 934,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,946 : 433,444 = 433,444 : x
  2. Step 2: Convert to fraction form
    200,946/433,444 = 433,444/x
  3. Step 3: Cross multiply
    200,946x = 433,444 × 433,444
  4. Step 4: Simplify right side
    200,946x = 187,873,701,136
  5. Step 5: Solve for x
    x = 187,873,701,136/200,946
  6. Step 6: Final answer
    x = 934,946.21

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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.