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Finding the Third Proportional to 451,620 and 699,056

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Solution

The third proportional to 451,620 and 699,056 is: 1,082,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,620 : 699,056 = 699,056 : x
  2. Step 2: Convert to fraction form
    451,620/699,056 = 699,056/x
  3. Step 3: Cross multiply
    451,620x = 699,056 × 699,056
  4. Step 4: Simplify right side
    451,620x = 488,679,291,136
  5. Step 5: Solve for x
    x = 488,679,291,136/451,620
  6. Step 6: Final answer
    x = 1,082,058.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.