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Finding the Third Proportional to 386,592 and 784,056

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Solution

The third proportional to 386,592 and 784,056 is: 1,590,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,592 : 784,056 = 784,056 : x
  2. Step 2: Convert to fraction form
    386,592/784,056 = 784,056/x
  3. Step 3: Cross multiply
    386,592x = 784,056 × 784,056
  4. Step 4: Simplify right side
    386,592x = 614,743,811,136
  5. Step 5: Solve for x
    x = 614,743,811,136/386,592
  6. Step 6: Final answer
    x = 1,590,161.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.