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Finding the Third Proportional to 200,502 and 431,136

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Solution

The third proportional to 200,502 and 431,136 is: 927,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502 : 431,136 = 431,136 : x
  2. Step 2: Convert to fraction form
    200,502/431,136 = 431,136/x
  3. Step 3: Cross multiply
    200,502x = 431,136 × 431,136
  4. Step 4: Simplify right side
    200,502x = 185,878,250,496
  5. Step 5: Solve for x
    x = 185,878,250,496/200,502
  6. Step 6: Final answer
    x = 927,064.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.