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Finding the Third Proportional to 373,840 and 820,056

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Solution

The third proportional to 373,840 and 820,056 is: 1,798,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,840 : 820,056 = 820,056 : x
  2. Step 2: Convert to fraction form
    373,840/820,056 = 820,056/x
  3. Step 3: Cross multiply
    373,840x = 820,056 × 820,056
  4. Step 4: Simplify right side
    373,840x = 672,491,843,136
  5. Step 5: Solve for x
    x = 672,491,843,136/373,840
  6. Step 6: Final answer
    x = 1,798,876.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.