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Finding the Third Proportional to 283,968 and 431,136

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Solution

The third proportional to 283,968 and 431,136 is: 654,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,968 : 431,136 = 431,136 : x
  2. Step 2: Convert to fraction form
    283,968/431,136 = 431,136/x
  3. Step 3: Cross multiply
    283,968x = 431,136 × 431,136
  4. Step 4: Simplify right side
    283,968x = 185,878,250,496
  5. Step 5: Solve for x
    x = 185,878,250,496/283,968
  6. Step 6: Final answer
    x = 654,574.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.