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Finding the Third Proportional to 376,962 and 554,136

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Solution

The third proportional to 376,962 and 554,136 is: 814,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,962 : 554,136 = 554,136 : x
  2. Step 2: Convert to fraction form
    376,962/554,136 = 554,136/x
  3. Step 3: Cross multiply
    376,962x = 554,136 × 554,136
  4. Step 4: Simplify right side
    376,962x = 307,066,706,496
  5. Step 5: Solve for x
    x = 307,066,706,496/376,962
  6. Step 6: Final answer
    x = 814,582.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.